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Finding the Fourth Proportional to 12,902.60, 17,781.78 and 9,753.80

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Solution

The fourth proportional to 12,902.60, 17,781.78 and 9,753.80 is: 13,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.60 : 17,781.78 = 9,753.80 : x
  2. Step 2: Convert to fraction form
    12,902.60/17,781.78 = 9,753.80/x
  3. Step 3: Cross multiply
    12,902.60x = 17,781.78 × 9,753.80
  4. Step 4: Simplify right side
    12,902.60x = 173,439,925.76
  5. Step 5: Solve for x
    x = 173,439,925.76/12,902.60
  6. Step 6: Final answer
    x = 13,442.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.