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Finding the Fourth Proportional to 11,538.60, 17,332.56 and 9,787.20

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Solution

The fourth proportional to 11,538.60, 17,332.56 and 9,787.20 is: 14,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.60 : 17,332.56 = 9,787.20 : x
  2. Step 2: Convert to fraction form
    11,538.60/17,332.56 = 9,787.20/x
  3. Step 3: Cross multiply
    11,538.60x = 17,332.56 × 9,787.20
  4. Step 4: Simplify right side
    11,538.60x = 169,637,231.23
  5. Step 5: Solve for x
    x = 169,637,231.23/11,538.60
  6. Step 6: Final answer
    x = 14,701.72

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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.