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Finding the Fourth Proportional to 17,637.29, 24,340.53 and 11,658.59

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Solution

The fourth proportional to 17,637.29, 24,340.53 and 11,658.59 is: 16,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.29 : 24,340.53 = 11,658.59 : x
  2. Step 2: Convert to fraction form
    17,637.29/24,340.53 = 11,658.59/x
  3. Step 3: Cross multiply
    17,637.29x = 24,340.53 × 11,658.59
  4. Step 4: Simplify right side
    17,637.29x = 283,776,259.65
  5. Step 5: Solve for x
    x = 283,776,259.65/17,637.29
  6. Step 6: Final answer
    x = 16,089.56

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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.