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Finding the Fourth Proportional to 13,385.70, 20,078.55 and 12,413.70

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Solution

The fourth proportional to 13,385.70, 20,078.55 and 12,413.70 is: 18,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.70 : 20,078.55 = 12,413.70 : x
  2. Step 2: Convert to fraction form
    13,385.70/20,078.55 = 12,413.70/x
  3. Step 3: Cross multiply
    13,385.70x = 20,078.55 × 12,413.70
  4. Step 4: Simplify right side
    13,385.70x = 249,249,096.14
  5. Step 5: Solve for x
    x = 249,249,096.14/13,385.70
  6. Step 6: Final answer
    x = 18,620.55

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.