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Finding the Fourth Proportional to 27,641.86, 41,466.90 and 8,915.74

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Solution

The fourth proportional to 27,641.86, 41,466.90 and 8,915.74 is: 13,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.86 : 41,466.90 = 8,915.74 : x
  2. Step 2: Convert to fraction form
    27,641.86/41,466.90 = 8,915.74/x
  3. Step 3: Cross multiply
    27,641.86x = 41,466.90 × 8,915.74
  4. Step 4: Simplify right side
    27,641.86x = 369,708,099.01
  5. Step 5: Solve for x
    x = 369,708,099.01/27,641.86
  6. Step 6: Final answer
    x = 13,374.94

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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.