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Finding the Fourth Proportional to 22,749.80, 31,414.12 and 14,266.20

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Solution

The fourth proportional to 22,749.80, 31,414.12 and 14,266.20 is: 19,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,749.80 : 31,414.12 = 14,266.20 : x
  2. Step 2: Convert to fraction form
    22,749.80/31,414.12 = 14,266.20/x
  3. Step 3: Cross multiply
    22,749.80x = 31,414.12 × 14,266.20
  4. Step 4: Simplify right side
    22,749.80x = 448,160,118.74
  5. Step 5: Solve for x
    x = 448,160,118.74/22,749.80
  6. Step 6: Final answer
    x = 19,699.52

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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.