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Finding the Fourth Proportional to 14,394.60, 21,553.02 and 9,184.68

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Solution

The fourth proportional to 14,394.60, 21,553.02 and 9,184.68 is: 13,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394.60 : 21,553.02 = 9,184.68 : x
  2. Step 2: Convert to fraction form
    14,394.60/21,553.02 = 9,184.68/x
  3. Step 3: Cross multiply
    14,394.60x = 21,553.02 × 9,184.68
  4. Step 4: Simplify right side
    14,394.60x = 197,957,591.73
  5. Step 5: Solve for x
    x = 197,957,591.73/14,394.60
  6. Step 6: Final answer
    x = 13,752.21

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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.