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Finding the Fourth Proportional to 13,205.61, 18,231.66 and 7,902.18

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Solution

The fourth proportional to 13,205.61, 18,231.66 and 7,902.18 is: 10,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.61 : 18,231.66 = 7,902.18 : x
  2. Step 2: Convert to fraction form
    13,205.61/18,231.66 = 7,902.18/x
  3. Step 3: Cross multiply
    13,205.61x = 18,231.66 × 7,902.18
  4. Step 4: Simplify right side
    13,205.61x = 144,069,859.02
  5. Step 5: Solve for x
    x = 144,069,859.02/13,205.61
  6. Step 6: Final answer
    x = 10,909.75

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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.