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Finding the Fourth Proportional to 27,577.28, 38,056.64 and 15,002

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Solution

The fourth proportional to 27,577.28, 38,056.64 and 15,002 is: 20,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.28 : 38,056.64 = 15,002 : x
  2. Step 2: Convert to fraction form
    27,577.28/38,056.64 = 15,002/x
  3. Step 3: Cross multiply
    27,577.28x = 38,056.64 × 15,002
  4. Step 4: Simplify right side
    27,577.28x = 570,925,713.28
  5. Step 5: Solve for x
    x = 570,925,713.28/27,577.28
  6. Step 6: Final answer
    x = 20,702.76

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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.