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Finding the Fourth Proportional to 12,942.40, 19,413.60 and 10,026.40

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Solution

The fourth proportional to 12,942.40, 19,413.60 and 10,026.40 is: 15,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.40 : 19,413.60 = 10,026.40 : x
  2. Step 2: Convert to fraction form
    12,942.40/19,413.60 = 10,026.40/x
  3. Step 3: Cross multiply
    12,942.40x = 19,413.60 × 10,026.40
  4. Step 4: Simplify right side
    12,942.40x = 194,648,519.04
  5. Step 5: Solve for x
    x = 194,648,519.04/12,942.40
  6. Step 6: Final answer
    x = 15,039.60

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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.