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Finding the Fourth Proportional to 27,002.12, 40,502.94 and 8,534.12

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Solution

The fourth proportional to 27,002.12, 40,502.94 and 8,534.12 is: 12,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.12 : 40,502.94 = 8,534.12 : x
  2. Step 2: Convert to fraction form
    27,002.12/40,502.94 = 8,534.12/x
  3. Step 3: Cross multiply
    27,002.12x = 40,502.94 × 8,534.12
  4. Step 4: Simplify right side
    27,002.12x = 345,656,950.31
  5. Step 5: Solve for x
    x = 345,656,950.31/27,002.12
  6. Step 6: Final answer
    x = 12,801.10

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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.