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Finding the Fourth Proportional to 13,471.50, 18,591.03 and 7,503.42

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Solution

The fourth proportional to 13,471.50, 18,591.03 and 7,503.42 is: 10,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.50 : 18,591.03 = 7,503.42 : x
  2. Step 2: Convert to fraction form
    13,471.50/18,591.03 = 7,503.42/x
  3. Step 3: Cross multiply
    13,471.50x = 18,591.03 × 7,503.42
  4. Step 4: Simplify right side
    13,471.50x = 139,496,306.32
  5. Step 5: Solve for x
    x = 139,496,306.32/13,471.50
  6. Step 6: Final answer
    x = 10,354.92

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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.