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Finding the Fourth Proportional to 16,339.31, 24,506.66 and 5,246.96

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Solution

The fourth proportional to 16,339.31, 24,506.66 and 5,246.96 is: 7,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.31 : 24,506.66 = 5,246.96 : x
  2. Step 2: Convert to fraction form
    16,339.31/24,506.66 = 5,246.96/x
  3. Step 3: Cross multiply
    16,339.31x = 24,506.66 × 5,246.96
  4. Step 4: Simplify right side
    16,339.31x = 128,585,438.52
  5. Step 5: Solve for x
    x = 128,585,438.52/16,339.31
  6. Step 6: Final answer
    x = 7,869.70

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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.