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Finding the Fourth Proportional to 16,139.27, 24,187 and 7,802.68

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Solution

The fourth proportional to 16,139.27, 24,187 and 7,802.68 is: 11,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.27 : 24,187 = 7,802.68 : x
  2. Step 2: Convert to fraction form
    16,139.27/24,187 = 7,802.68/x
  3. Step 3: Cross multiply
    16,139.27x = 24,187 × 7,802.68
  4. Step 4: Simplify right side
    16,139.27x = 188,723,421.16
  5. Step 5: Solve for x
    x = 188,723,421.16/16,139.27
  6. Step 6: Final answer
    x = 11,693.43

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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.