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Finding the Fourth Proportional to 22,261.20, 30,710.88 and 12,824.16

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Solution

The fourth proportional to 22,261.20, 30,710.88 and 12,824.16 is: 17,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.20 : 30,710.88 = 12,824.16 : x
  2. Step 2: Convert to fraction form
    22,261.20/30,710.88 = 12,824.16/x
  3. Step 3: Cross multiply
    22,261.20x = 30,710.88 × 12,824.16
  4. Step 4: Simplify right side
    22,261.20x = 393,841,238.86
  5. Step 5: Solve for x
    x = 393,841,238.86/22,261.20
  6. Step 6: Final answer
    x = 17,691.82

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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.