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Finding the Fourth Proportional to 13,565.84, 20,340.24 and 7,651.22

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Solution

The fourth proportional to 13,565.84, 20,340.24 and 7,651.22 is: 11,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.84 : 20,340.24 = 7,651.22 : x
  2. Step 2: Convert to fraction form
    13,565.84/20,340.24 = 7,651.22/x
  3. Step 3: Cross multiply
    13,565.84x = 20,340.24 × 7,651.22
  4. Step 4: Simplify right side
    13,565.84x = 155,627,651.09
  5. Step 5: Solve for x
    x = 155,627,651.09/13,565.84
  6. Step 6: Final answer
    x = 11,472.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.