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Finding the Fourth Proportional to 13,275.24, 19,915.74 and 4,041

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Solution

The fourth proportional to 13,275.24, 19,915.74 and 4,041 is: 6,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275.24 : 19,915.74 = 4,041 : x
  2. Step 2: Convert to fraction form
    13,275.24/19,915.74 = 4,041/x
  3. Step 3: Cross multiply
    13,275.24x = 19,915.74 × 4,041
  4. Step 4: Simplify right side
    13,275.24x = 80,479,505.34
  5. Step 5: Solve for x
    x = 80,479,505.34/13,275.24
  6. Step 6: Final answer
    x = 6,062.38

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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.