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Finding the Fourth Proportional to 27,577.70, 38,057.02 and 15,002.44

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Solution

The fourth proportional to 27,577.70, 38,057.02 and 15,002.44 is: 20,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.70 : 38,057.02 = 15,002.44 : x
  2. Step 2: Convert to fraction form
    27,577.70/38,057.02 = 15,002.44/x
  3. Step 3: Cross multiply
    27,577.70x = 38,057.02 × 15,002.44
  4. Step 4: Simplify right side
    27,577.70x = 570,948,159.13
  5. Step 5: Solve for x
    x = 570,948,159.13/27,577.70
  6. Step 6: Final answer
    x = 20,703.26

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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.