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Finding the Fourth Proportional to 16,123.70, 24,186.63 and 5,732.66

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Solution

The fourth proportional to 16,123.70, 24,186.63 and 5,732.66 is: 8,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.70 : 24,186.63 = 5,732.66 : x
  2. Step 2: Convert to fraction form
    16,123.70/24,186.63 = 5,732.66/x
  3. Step 3: Cross multiply
    16,123.70x = 24,186.63 × 5,732.66
  4. Step 4: Simplify right side
    16,123.70x = 138,653,726.34
  5. Step 5: Solve for x
    x = 138,653,726.34/16,123.70
  6. Step 6: Final answer
    x = 8,599.37

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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.