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Finding the Fourth Proportional to 22,820.24, 31,491.98 and 12,884.24

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Solution

The fourth proportional to 22,820.24, 31,491.98 and 12,884.24 is: 17,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,820.24 : 31,491.98 = 12,884.24 : x
  2. Step 2: Convert to fraction form
    22,820.24/31,491.98 = 12,884.24/x
  3. Step 3: Cross multiply
    22,820.24x = 31,491.98 × 12,884.24
  4. Step 4: Simplify right side
    22,820.24x = 405,750,228.40
  5. Step 5: Solve for x
    x = 405,750,228.40/22,820.24
  6. Step 6: Final answer
    x = 17,780.28

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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.