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Finding the Fourth Proportional to 16,138.80, 22,281.24 and 10,475.76

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Solution

The fourth proportional to 16,138.80, 22,281.24 and 10,475.76 is: 14,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.80 : 22,281.24 = 10,475.76 : x
  2. Step 2: Convert to fraction form
    16,138.80/22,281.24 = 10,475.76/x
  3. Step 3: Cross multiply
    16,138.80x = 22,281.24 × 10,475.76
  4. Step 4: Simplify right side
    16,138.80x = 233,412,922.74
  5. Step 5: Solve for x
    x = 233,412,922.74/16,138.80
  6. Step 6: Final answer
    x = 14,462.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.