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Finding the Fourth Proportional to 15,204.29, 22,805.93 and 6,884.30

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Solution

The fourth proportional to 15,204.29, 22,805.93 and 6,884.30 is: 10,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.29 : 22,805.93 = 6,884.30 : x
  2. Step 2: Convert to fraction form
    15,204.29/22,805.93 = 6,884.30/x
  3. Step 3: Cross multiply
    15,204.29x = 22,805.93 × 6,884.30
  4. Step 4: Simplify right side
    15,204.29x = 157,002,829.48
  5. Step 5: Solve for x
    x = 157,002,829.48/15,204.29
  6. Step 6: Final answer
    x = 10,326.22

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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.