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Finding the Fourth Proportional to 13,915.92, 19,203.98 and 7,542.57

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Solution

The fourth proportional to 13,915.92, 19,203.98 and 7,542.57 is: 10,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.92 : 19,203.98 = 7,542.57 : x
  2. Step 2: Convert to fraction form
    13,915.92/19,203.98 = 7,542.57/x
  3. Step 3: Cross multiply
    13,915.92x = 19,203.98 × 7,542.57
  4. Step 4: Simplify right side
    13,915.92x = 144,847,363.43
  5. Step 5: Solve for x
    x = 144,847,363.43/13,915.92
  6. Step 6: Final answer
    x = 10,408.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.