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Finding the Fourth Proportional to 14,476, 21,716.82 and 6,155.92

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Solution

The fourth proportional to 14,476, 21,716.82 and 6,155.92 is: 9,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476 : 21,716.82 = 6,155.92 : x
  2. Step 2: Convert to fraction form
    14,476/21,716.82 = 6,155.92/x
  3. Step 3: Cross multiply
    14,476x = 21,716.82 × 6,155.92
  4. Step 4: Simplify right side
    14,476x = 133,687,006.57
  5. Step 5: Solve for x
    x = 133,687,006.57/14,476
  6. Step 6: Final answer
    x = 9,235.08

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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.