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Finding the Fourth Proportional to 13,915.75, 19,203.78 and 7,542.45

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Solution

The fourth proportional to 13,915.75, 19,203.78 and 7,542.45 is: 10,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.75 : 19,203.78 = 7,542.45 : x
  2. Step 2: Convert to fraction form
    13,915.75/19,203.78 = 7,542.45/x
  3. Step 3: Cross multiply
    13,915.75x = 19,203.78 × 7,542.45
  4. Step 4: Simplify right side
    13,915.75x = 144,843,454.44
  5. Step 5: Solve for x
    x = 144,843,454.44/13,915.75
  6. Step 6: Final answer
    x = 10,408.60

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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.