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Finding the Fourth Proportional to 23,658.72, 32,678.10 and 17,716.92

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Solution

The fourth proportional to 23,658.72, 32,678.10 and 17,716.92 is: 24,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.72 : 32,678.10 = 17,716.92 : x
  2. Step 2: Convert to fraction form
    23,658.72/32,678.10 = 17,716.92/x
  3. Step 3: Cross multiply
    23,658.72x = 32,678.10 × 17,716.92
  4. Step 4: Simplify right side
    23,658.72x = 578,955,283.45
  5. Step 5: Solve for x
    x = 578,955,283.45/23,658.72
  6. Step 6: Final answer
    x = 24,471.12

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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.