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Finding the Fourth Proportional to 11,658.31, 17,487.58 and 9,333.10

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Solution

The fourth proportional to 11,658.31, 17,487.58 and 9,333.10 is: 13,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.31 : 17,487.58 = 9,333.10 : x
  2. Step 2: Convert to fraction form
    11,658.31/17,487.58 = 9,333.10/x
  3. Step 3: Cross multiply
    11,658.31x = 17,487.58 × 9,333.10
  4. Step 4: Simplify right side
    11,658.31x = 163,213,332.90
  5. Step 5: Solve for x
    x = 163,213,332.90/11,658.31
  6. Step 6: Final answer
    x = 13,999.74

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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.