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Finding the Fourth Proportional to 13,503.15, 18,634.70 and 7,535.99

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Solution

The fourth proportional to 13,503.15, 18,634.70 and 7,535.99 is: 10,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.15 : 18,634.70 = 7,535.99 : x
  2. Step 2: Convert to fraction form
    13,503.15/18,634.70 = 7,535.99/x
  3. Step 3: Cross multiply
    13,503.15x = 18,634.70 × 7,535.99
  4. Step 4: Simplify right side
    13,503.15x = 140,430,978.28
  5. Step 5: Solve for x
    x = 140,430,978.28/13,503.15
  6. Step 6: Final answer
    x = 10,399.87

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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.