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Finding the Fourth Proportional to 17,658.61, 24,368.82 and 9,592.32

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Solution

The fourth proportional to 17,658.61, 24,368.82 and 9,592.32 is: 13,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.61 : 24,368.82 = 9,592.32 : x
  2. Step 2: Convert to fraction form
    17,658.61/24,368.82 = 9,592.32/x
  3. Step 3: Cross multiply
    17,658.61x = 24,368.82 × 9,592.32
  4. Step 4: Simplify right side
    17,658.61x = 233,753,574.87
  5. Step 5: Solve for x
    x = 233,753,574.87/17,658.61
  6. Step 6: Final answer
    x = 13,237.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.