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Finding the Fourth Proportional to 13,520, 18,655.52 and 7,551.44

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Solution

The fourth proportional to 13,520, 18,655.52 and 7,551.44 is: 10,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520 : 18,655.52 = 7,551.44 : x
  2. Step 2: Convert to fraction form
    13,520/18,655.52 = 7,551.44/x
  3. Step 3: Cross multiply
    13,520x = 18,655.52 × 7,551.44
  4. Step 4: Simplify right side
    13,520x = 140,876,039.95
  5. Step 5: Solve for x
    x = 140,876,039.95/13,520
  6. Step 6: Final answer
    x = 10,419.83

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Why These Related Problems?

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