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Finding the Fourth Proportional to 22,665.74, 31,283.69 and 12,597.62

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Solution

The fourth proportional to 22,665.74, 31,283.69 and 12,597.62 is: 17,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.74 : 31,283.69 = 12,597.62 : x
  2. Step 2: Convert to fraction form
    22,665.74/31,283.69 = 12,597.62/x
  3. Step 3: Cross multiply
    22,665.74x = 31,283.69 × 12,597.62
  4. Step 4: Simplify right side
    22,665.74x = 394,099,819.41
  5. Step 5: Solve for x
    x = 394,099,819.41/22,665.74
  6. Step 6: Final answer
    x = 17,387.47

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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.