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Finding the Fourth Proportional to 16,439.76, 24,678.07 and 6,585.91

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Solution

The fourth proportional to 16,439.76, 24,678.07 and 6,585.91 is: 9,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.76 : 24,678.07 = 6,585.91 : x
  2. Step 2: Convert to fraction form
    16,439.76/24,678.07 = 6,585.91/x
  3. Step 3: Cross multiply
    16,439.76x = 24,678.07 × 6,585.91
  4. Step 4: Simplify right side
    16,439.76x = 162,527,469.83
  5. Step 5: Solve for x
    x = 162,527,469.83/16,439.76
  6. Step 6: Final answer
    x = 9,886.24

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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.