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Finding the Fourth Proportional to 27,098.07, 40,648.18 and 8,376.43

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Solution

The fourth proportional to 27,098.07, 40,648.18 and 8,376.43 is: 12,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098.07 : 40,648.18 = 8,376.43 : x
  2. Step 2: Convert to fraction form
    27,098.07/40,648.18 = 8,376.43/x
  3. Step 3: Cross multiply
    27,098.07x = 40,648.18 × 8,376.43
  4. Step 4: Simplify right side
    27,098.07x = 340,486,634.40
  5. Step 5: Solve for x
    x = 340,486,634.40/27,098.07
  6. Step 6: Final answer
    x = 12,564.98

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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.