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Finding the Fourth Proportional to 14,423.90, 21,625.62 and 6,414.28

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Solution

The fourth proportional to 14,423.90, 21,625.62 and 6,414.28 is: 9,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.90 : 21,625.62 = 6,414.28 : x
  2. Step 2: Convert to fraction form
    14,423.90/21,625.62 = 6,414.28/x
  3. Step 3: Cross multiply
    14,423.90x = 21,625.62 × 6,414.28
  4. Step 4: Simplify right side
    14,423.90x = 138,712,781.85
  5. Step 5: Solve for x
    x = 138,712,781.85/14,423.90
  6. Step 6: Final answer
    x = 9,616.87

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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.