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Finding the Fourth Proportional to 27,002.32, 40,503.48 and 8,534.32

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Solution

The fourth proportional to 27,002.32, 40,503.48 and 8,534.32 is: 12,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.32 : 40,503.48 = 8,534.32 : x
  2. Step 2: Convert to fraction form
    27,002.32/40,503.48 = 8,534.32/x
  3. Step 3: Cross multiply
    27,002.32x = 40,503.48 × 8,534.32
  4. Step 4: Simplify right side
    27,002.32x = 345,669,659.43
  5. Step 5: Solve for x
    x = 345,669,659.43/27,002.32
  6. Step 6: Final answer
    x = 12,801.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.