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Finding the Fourth Proportional to 13,414.03, 18,509.22 and 7,445.57

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Solution

The fourth proportional to 13,414.03, 18,509.22 and 7,445.57 is: 10,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.03 : 18,509.22 = 7,445.57 : x
  2. Step 2: Convert to fraction form
    13,414.03/18,509.22 = 7,445.57/x
  3. Step 3: Cross multiply
    13,414.03x = 18,509.22 × 7,445.57
  4. Step 4: Simplify right side
    13,414.03x = 137,811,600.61
  5. Step 5: Solve for x
    x = 137,811,600.61/13,414.03
  6. Step 6: Final answer
    x = 10,273.69

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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.