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Finding the Fourth Proportional to 16,252.70, 24,379.95 and 4,565

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Solution

The fourth proportional to 16,252.70, 24,379.95 and 4,565 is: 6,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.70 : 24,379.95 = 4,565 : x
  2. Step 2: Convert to fraction form
    16,252.70/24,379.95 = 4,565/x
  3. Step 3: Cross multiply
    16,252.70x = 24,379.95 × 4,565
  4. Step 4: Simplify right side
    16,252.70x = 111,294,471.75
  5. Step 5: Solve for x
    x = 111,294,471.75/16,252.70
  6. Step 6: Final answer
    x = 6,847.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.