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Finding the Fourth Proportional to 16,229.78, 24,347.06 and 5,133.96

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Solution

The fourth proportional to 16,229.78, 24,347.06 and 5,133.96 is: 7,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.78 : 24,347.06 = 5,133.96 : x
  2. Step 2: Convert to fraction form
    16,229.78/24,347.06 = 5,133.96/x
  3. Step 3: Cross multiply
    16,229.78x = 24,347.06 × 5,133.96
  4. Step 4: Simplify right side
    16,229.78x = 124,996,832.16
  5. Step 5: Solve for x
    x = 124,996,832.16/16,229.78
  6. Step 6: Final answer
    x = 7,701.70

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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.