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Finding the Fourth Proportional to 13,851.50, 19,115.17 and 7,563.88

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Solution

The fourth proportional to 13,851.50, 19,115.17 and 7,563.88 is: 10,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.50 : 19,115.17 = 7,563.88 : x
  2. Step 2: Convert to fraction form
    13,851.50/19,115.17 = 7,563.88/x
  3. Step 3: Cross multiply
    13,851.50x = 19,115.17 × 7,563.88
  4. Step 4: Simplify right side
    13,851.50x = 144,584,756.48
  5. Step 5: Solve for x
    x = 144,584,756.48/13,851.50
  6. Step 6: Final answer
    x = 10,438.20

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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.