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Finding the Fourth Proportional to 16,234.74, 24,329.52 and 9,112.68

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Solution

The fourth proportional to 16,234.74, 24,329.52 and 9,112.68 is: 13,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.74 : 24,329.52 = 9,112.68 : x
  2. Step 2: Convert to fraction form
    16,234.74/24,329.52 = 9,112.68/x
  3. Step 3: Cross multiply
    16,234.74x = 24,329.52 × 9,112.68
  4. Step 4: Simplify right side
    16,234.74x = 221,707,130.31
  5. Step 5: Solve for x
    x = 221,707,130.31/16,234.74
  6. Step 6: Final answer
    x = 13,656.34

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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.