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Finding the Fourth Proportional to 27,117.44, 40,677.60 and 8,648

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Solution

The fourth proportional to 27,117.44, 40,677.60 and 8,648 is: 12,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,117.44 : 40,677.60 = 8,648 : x
  2. Step 2: Convert to fraction form
    27,117.44/40,677.60 = 8,648/x
  3. Step 3: Cross multiply
    27,117.44x = 40,677.60 × 8,648
  4. Step 4: Simplify right side
    27,117.44x = 351,779,884.80
  5. Step 5: Solve for x
    x = 351,779,884.80/27,117.44
  6. Step 6: Final answer
    x = 12,972.46

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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.