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Finding the Fourth Proportional to 22,101.84, 30,504.24 and 14,143.68

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Solution

The fourth proportional to 22,101.84, 30,504.24 and 14,143.68 is: 19,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101.84 : 30,504.24 = 14,143.68 : x
  2. Step 2: Convert to fraction form
    22,101.84/30,504.24 = 14,143.68/x
  3. Step 3: Cross multiply
    22,101.84x = 30,504.24 × 14,143.68
  4. Step 4: Simplify right side
    22,101.84x = 431,442,209.20
  5. Step 5: Solve for x
    x = 431,442,209.20/22,101.84
  6. Step 6: Final answer
    x = 19,520.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.