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Finding the Fourth Proportional to 15,781.71, 23,672.53 and 9,203.28

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Solution

The fourth proportional to 15,781.71, 23,672.53 and 9,203.28 is: 13,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.71 : 23,672.53 = 9,203.28 : x
  2. Step 2: Convert to fraction form
    15,781.71/23,672.53 = 9,203.28/x
  3. Step 3: Cross multiply
    15,781.71x = 23,672.53 × 9,203.28
  4. Step 4: Simplify right side
    15,781.71x = 217,864,875.88
  5. Step 5: Solve for x
    x = 217,864,875.88/15,781.71
  6. Step 6: Final answer
    x = 13,804.90

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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.