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Finding the Fourth Proportional to 16,262.29, 24,393.10 and 5,169

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Solution

The fourth proportional to 16,262.29, 24,393.10 and 5,169 is: 7,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.29 : 24,393.10 = 5,169 : x
  2. Step 2: Convert to fraction form
    16,262.29/24,393.10 = 5,169/x
  3. Step 3: Cross multiply
    16,262.29x = 24,393.10 × 5,169
  4. Step 4: Simplify right side
    16,262.29x = 126,087,933.90
  5. Step 5: Solve for x
    x = 126,087,933.90/16,262.29
  6. Step 6: Final answer
    x = 7,753.39

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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.