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Finding the Fourth Proportional to 22,507.48, 31,080.33 and 14,024.20

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Solution

The fourth proportional to 22,507.48, 31,080.33 and 14,024.20 is: 19,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.48 : 31,080.33 = 14,024.20 : x
  2. Step 2: Convert to fraction form
    22,507.48/31,080.33 = 14,024.20/x
  3. Step 3: Cross multiply
    22,507.48x = 31,080.33 × 14,024.20
  4. Step 4: Simplify right side
    22,507.48x = 435,876,763.99
  5. Step 5: Solve for x
    x = 435,876,763.99/22,507.48
  6. Step 6: Final answer
    x = 19,365.86

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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.