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Finding the Fourth Proportional to 27,577.50, 38,056.98 and 15,002.28

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Solution

The fourth proportional to 27,577.50, 38,056.98 and 15,002.28 is: 20,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.50 : 38,056.98 = 15,002.28 : x
  2. Step 2: Convert to fraction form
    27,577.50/38,056.98 = 15,002.28/x
  3. Step 3: Cross multiply
    27,577.50x = 38,056.98 × 15,002.28
  4. Step 4: Simplify right side
    27,577.50x = 570,941,469.91
  5. Step 5: Solve for x
    x = 570,941,469.91/27,577.50
  6. Step 6: Final answer
    x = 20,703.16

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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.