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Finding the Fourth Proportional to 15,217.25, 22,826.13 and 6,897.34

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Solution

The fourth proportional to 15,217.25, 22,826.13 and 6,897.34 is: 10,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,217.25 : 22,826.13 = 6,897.34 : x
  2. Step 2: Convert to fraction form
    15,217.25/22,826.13 = 6,897.34/x
  3. Step 3: Cross multiply
    15,217.25x = 22,826.13 × 6,897.34
  4. Step 4: Simplify right side
    15,217.25x = 157,439,522.43
  5. Step 5: Solve for x
    x = 157,439,522.43/15,217.25
  6. Step 6: Final answer
    x = 10,346.12

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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.