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Finding the Fourth Proportional to 13,503.38, 18,635.27 and 7,535.08

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Solution

The fourth proportional to 13,503.38, 18,635.27 and 7,535.08 is: 10,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.38 : 18,635.27 = 7,535.08 : x
  2. Step 2: Convert to fraction form
    13,503.38/18,635.27 = 7,535.08/x
  3. Step 3: Cross multiply
    13,503.38x = 18,635.27 × 7,535.08
  4. Step 4: Simplify right side
    13,503.38x = 140,418,131.07
  5. Step 5: Solve for x
    x = 140,418,131.07/13,503.38
  6. Step 6: Final answer
    x = 10,398.74

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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.