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Finding the Fourth Proportional to 16,339.59, 24,512.09 and 6,478.92

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Solution

The fourth proportional to 16,339.59, 24,512.09 and 6,478.92 is: 9,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.59 : 24,512.09 = 6,478.92 : x
  2. Step 2: Convert to fraction form
    16,339.59/24,512.09 = 6,478.92/x
  3. Step 3: Cross multiply
    16,339.59x = 24,512.09 × 6,478.92
  4. Step 4: Simplify right side
    16,339.59x = 158,811,837.75
  5. Step 5: Solve for x
    x = 158,811,837.75/16,339.59
  6. Step 6: Final answer
    x = 9,719.45

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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.