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Finding the Fourth Proportional to 13,178.50, 19,765.50 and 4,413.40

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Solution

The fourth proportional to 13,178.50, 19,765.50 and 4,413.40 is: 6,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.50 : 19,765.50 = 4,413.40 : x
  2. Step 2: Convert to fraction form
    13,178.50/19,765.50 = 4,413.40/x
  3. Step 3: Cross multiply
    13,178.50x = 19,765.50 × 4,413.40
  4. Step 4: Simplify right side
    13,178.50x = 87,233,057.70
  5. Step 5: Solve for x
    x = 87,233,057.70/13,178.50
  6. Step 6: Final answer
    x = 6,619.35

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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.