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Finding the Fourth Proportional to 13,087.52, 19,622 and 6,158.24

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Solution

The fourth proportional to 13,087.52, 19,622 and 6,158.24 is: 9,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,087.52 : 19,622 = 6,158.24 : x
  2. Step 2: Convert to fraction form
    13,087.52/19,622 = 6,158.24/x
  3. Step 3: Cross multiply
    13,087.52x = 19,622 × 6,158.24
  4. Step 4: Simplify right side
    13,087.52x = 120,836,985.28
  5. Step 5: Solve for x
    x = 120,836,985.28/13,087.52
  6. Step 6: Final answer
    x = 9,232.99

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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.