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Finding the Fourth Proportional to 16,234.90, 24,354.06 and 5,143.12

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Solution

The fourth proportional to 16,234.90, 24,354.06 and 5,143.12 is: 7,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.90 : 24,354.06 = 5,143.12 : x
  2. Step 2: Convert to fraction form
    16,234.90/24,354.06 = 5,143.12/x
  3. Step 3: Cross multiply
    16,234.90x = 24,354.06 × 5,143.12
  4. Step 4: Simplify right side
    16,234.90x = 125,255,853.07
  5. Step 5: Solve for x
    x = 125,255,853.07/16,234.90
  6. Step 6: Final answer
    x = 7,715.22

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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.