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Finding the Fourth Proportional to 22,497.09, 31,045.48 and 12,287.78

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Solution

The fourth proportional to 22,497.09, 31,045.48 and 12,287.78 is: 16,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.09 : 31,045.48 = 12,287.78 : x
  2. Step 2: Convert to fraction form
    22,497.09/31,045.48 = 12,287.78/x
  3. Step 3: Cross multiply
    22,497.09x = 31,045.48 × 12,287.78
  4. Step 4: Simplify right side
    22,497.09x = 381,479,966.80
  5. Step 5: Solve for x
    x = 381,479,966.80/22,497.09
  6. Step 6: Final answer
    x = 16,956.86

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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.