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Finding the Fourth Proportional to 13,772.84, 20,659.25 and 8,830.22

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Solution

The fourth proportional to 13,772.84, 20,659.25 and 8,830.22 is: 13,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.84 : 20,659.25 = 8,830.22 : x
  2. Step 2: Convert to fraction form
    13,772.84/20,659.25 = 8,830.22/x
  3. Step 3: Cross multiply
    13,772.84x = 20,659.25 × 8,830.22
  4. Step 4: Simplify right side
    13,772.84x = 182,425,641.31
  5. Step 5: Solve for x
    x = 182,425,641.31/13,772.84
  6. Step 6: Final answer
    x = 13,245.32

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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.