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Finding the Fourth Proportional to 16,124.81, 24,196.56 and 6,764

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Solution

The fourth proportional to 16,124.81, 24,196.56 and 6,764 is: 10,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.81 : 24,196.56 = 6,764 : x
  2. Step 2: Convert to fraction form
    16,124.81/24,196.56 = 6,764/x
  3. Step 3: Cross multiply
    16,124.81x = 24,196.56 × 6,764
  4. Step 4: Simplify right side
    16,124.81x = 163,665,498.02
  5. Step 5: Solve for x
    x = 163,665,498.02/16,124.81
  6. Step 6: Final answer
    x = 10,149.92

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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.