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Finding the Fourth Proportional to 19,781.56, 29,659.74 and 9,915.40

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Solution

The fourth proportional to 19,781.56, 29,659.74 and 9,915.40 is: 14,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.56 : 29,659.74 = 9,915.40 : x
  2. Step 2: Convert to fraction form
    19,781.56/29,659.74 = 9,915.40/x
  3. Step 3: Cross multiply
    19,781.56x = 29,659.74 × 9,915.40
  4. Step 4: Simplify right side
    19,781.56x = 294,088,186.00
  5. Step 5: Solve for x
    x = 294,088,186.00/19,781.56
  6. Step 6: Final answer
    x = 14,866.78

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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.