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Finding the Fourth Proportional to 16,434, 24,660.72 and 7,073.76

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Solution

The fourth proportional to 16,434, 24,660.72 and 7,073.76 is: 10,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434 : 24,660.72 = 7,073.76 : x
  2. Step 2: Convert to fraction form
    16,434/24,660.72 = 7,073.76/x
  3. Step 3: Cross multiply
    16,434x = 24,660.72 × 7,073.76
  4. Step 4: Simplify right side
    16,434x = 174,444,014.71
  5. Step 5: Solve for x
    x = 174,444,014.71/16,434
  6. Step 6: Final answer
    x = 10,614.82

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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.