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Finding the Fourth Proportional to 13,278.70, 18,320.47 and 7,535.20

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Solution

The fourth proportional to 13,278.70, 18,320.47 and 7,535.20 is: 10,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.70 : 18,320.47 = 7,535.20 : x
  2. Step 2: Convert to fraction form
    13,278.70/18,320.47 = 7,535.20/x
  3. Step 3: Cross multiply
    13,278.70x = 18,320.47 × 7,535.20
  4. Step 4: Simplify right side
    13,278.70x = 138,048,367.87
  5. Step 5: Solve for x
    x = 138,048,367.87/13,278.70
  6. Step 6: Final answer
    x = 10,396.23

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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.