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Finding the Fourth Proportional to 12,781.60, 19,172.40 and 10,902.40

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Solution

The fourth proportional to 12,781.60, 19,172.40 and 10,902.40 is: 16,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.60 : 19,172.40 = 10,902.40 : x
  2. Step 2: Convert to fraction form
    12,781.60/19,172.40 = 10,902.40/x
  3. Step 3: Cross multiply
    12,781.60x = 19,172.40 × 10,902.40
  4. Step 4: Simplify right side
    12,781.60x = 209,025,173.76
  5. Step 5: Solve for x
    x = 209,025,173.76/12,781.60
  6. Step 6: Final answer
    x = 16,353.60

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