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Finding the Fourth Proportional to 16,377, 24,565.66 and 4,065

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Solution

The fourth proportional to 16,377, 24,565.66 and 4,065 is: 6,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,377 : 24,565.66 = 4,065 : x
  2. Step 2: Convert to fraction form
    16,377/24,565.66 = 4,065/x
  3. Step 3: Cross multiply
    16,377x = 24,565.66 × 4,065
  4. Step 4: Simplify right side
    16,377x = 99,859,407.90
  5. Step 5: Solve for x
    x = 99,859,407.90/16,377
  6. Step 6: Final answer
    x = 6,097.54

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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.