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Finding the Fourth Proportional to 22,142.88, 30,557.52 and 12,206.88

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Solution

The fourth proportional to 22,142.88, 30,557.52 and 12,206.88 is: 16,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.88 : 30,557.52 = 12,206.88 : x
  2. Step 2: Convert to fraction form
    22,142.88/30,557.52 = 12,206.88/x
  3. Step 3: Cross multiply
    22,142.88x = 30,557.52 × 12,206.88
  4. Step 4: Simplify right side
    22,142.88x = 373,011,979.74
  5. Step 5: Solve for x
    x = 373,011,979.74/22,142.88
  6. Step 6: Final answer
    x = 16,845.68

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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.