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Finding the Fourth Proportional to 22,820.20, 31,491.48 and 12,748

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Solution

The fourth proportional to 22,820.20, 31,491.48 and 12,748 is: 17,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,820.20 : 31,491.48 = 12,748 : x
  2. Step 2: Convert to fraction form
    22,820.20/31,491.48 = 12,748/x
  3. Step 3: Cross multiply
    22,820.20x = 31,491.48 × 12,748
  4. Step 4: Simplify right side
    22,820.20x = 401,453,387.04
  5. Step 5: Solve for x
    x = 401,453,387.04/22,820.20
  6. Step 6: Final answer
    x = 17,592.02

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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.