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Finding the Fourth Proportional to 27,577.76, 38,057.28 and 15,002.48

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Solution

The fourth proportional to 27,577.76, 38,057.28 and 15,002.48 is: 20,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.76 : 38,057.28 = 15,002.48 : x
  2. Step 2: Convert to fraction form
    27,577.76/38,057.28 = 15,002.48/x
  3. Step 3: Cross multiply
    27,577.76x = 38,057.28 × 15,002.48
  4. Step 4: Simplify right side
    27,577.76x = 570,953,582.05
  5. Step 5: Solve for x
    x = 570,953,582.05/27,577.76
  6. Step 6: Final answer
    x = 20,703.41

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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.