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Finding the Fourth Proportional to 22,805.32, 31,489.14 and 17,491.72

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Solution

The fourth proportional to 22,805.32, 31,489.14 and 17,491.72 is: 24,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,805.32 : 31,489.14 = 17,491.72 : x
  2. Step 2: Convert to fraction form
    22,805.32/31,489.14 = 17,491.72/x
  3. Step 3: Cross multiply
    22,805.32x = 31,489.14 × 17,491.72
  4. Step 4: Simplify right side
    22,805.32x = 550,799,219.92
  5. Step 5: Solve for x
    x = 550,799,219.92/22,805.32
  6. Step 6: Final answer
    x = 24,152.23

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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.