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Finding the Fourth Proportional to 15,781.29, 23,680.98 and 6,419.58

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Solution

The fourth proportional to 15,781.29, 23,680.98 and 6,419.58 is: 9,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.29 : 23,680.98 = 6,419.58 : x
  2. Step 2: Convert to fraction form
    15,781.29/23,680.98 = 6,419.58/x
  3. Step 3: Cross multiply
    15,781.29x = 23,680.98 × 6,419.58
  4. Step 4: Simplify right side
    15,781.29x = 152,021,945.59
  5. Step 5: Solve for x
    x = 152,021,945.59/15,781.29
  6. Step 6: Final answer
    x = 9,633.05

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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.