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Finding the Fourth Proportional to 13,915.76, 20,868.16 and 5,144.66

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Solution

The fourth proportional to 13,915.76, 20,868.16 and 5,144.66 is: 7,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.76 : 20,868.16 = 5,144.66 : x
  2. Step 2: Convert to fraction form
    13,915.76/20,868.16 = 5,144.66/x
  3. Step 3: Cross multiply
    13,915.76x = 20,868.16 × 5,144.66
  4. Step 4: Simplify right side
    13,915.76x = 107,359,588.03
  5. Step 5: Solve for x
    x = 107,359,588.03/13,915.76
  6. Step 6: Final answer
    x = 7,714.96

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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.