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Finding the Fourth Proportional to 16,112.32, 24,129.60 and 9,165.76

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Solution

The fourth proportional to 16,112.32, 24,129.60 and 9,165.76 is: 13,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,112.32 : 24,129.60 = 9,165.76 : x
  2. Step 2: Convert to fraction form
    16,112.32/24,129.60 = 9,165.76/x
  3. Step 3: Cross multiply
    16,112.32x = 24,129.60 × 9,165.76
  4. Step 4: Simplify right side
    16,112.32x = 221,166,122.50
  5. Step 5: Solve for x
    x = 221,166,122.50/16,112.32
  6. Step 6: Final answer
    x = 13,726.52

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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.