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Finding the Fourth Proportional to 16,501, 24,753.56 and 5,408.81

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Solution

The fourth proportional to 16,501, 24,753.56 and 5,408.81 is: 8,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501 : 24,753.56 = 5,408.81 : x
  2. Step 2: Convert to fraction form
    16,501/24,753.56 = 5,408.81/x
  3. Step 3: Cross multiply
    16,501x = 24,753.56 × 5,408.81
  4. Step 4: Simplify right side
    16,501x = 133,887,302.86
  5. Step 5: Solve for x
    x = 133,887,302.86/16,501
  6. Step 6: Final answer
    x = 8,113.89

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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.