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Finding the Fourth Proportional to 16,254.09, 24,384.78 and 5,161.14

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Solution

The fourth proportional to 16,254.09, 24,384.78 and 5,161.14 is: 7,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.09 : 24,384.78 = 5,161.14 : x
  2. Step 2: Convert to fraction form
    16,254.09/24,384.78 = 5,161.14/x
  3. Step 3: Cross multiply
    16,254.09x = 24,384.78 × 5,161.14
  4. Step 4: Simplify right side
    16,254.09x = 125,853,263.45
  5. Step 5: Solve for x
    x = 125,853,263.45/16,254.09
  6. Step 6: Final answer
    x = 7,742.87

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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.