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Finding the Fourth Proportional to 16,159.14, 24,238.71 and 4,472.46

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Solution

The fourth proportional to 16,159.14, 24,238.71 and 4,472.46 is: 6,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.14 : 24,238.71 = 4,472.46 : x
  2. Step 2: Convert to fraction form
    16,159.14/24,238.71 = 4,472.46/x
  3. Step 3: Cross multiply
    16,159.14x = 24,238.71 × 4,472.46
  4. Step 4: Simplify right side
    16,159.14x = 108,406,660.93
  5. Step 5: Solve for x
    x = 108,406,660.93/16,159.14
  6. Step 6: Final answer
    x = 6,708.69

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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.