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Finding the Fourth Proportional to 10,222.85, 15,345.23 and 8,298.29

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Solution

The fourth proportional to 10,222.85, 15,345.23 and 8,298.29 is: 12,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.85 : 15,345.23 = 8,298.29 : x
  2. Step 2: Convert to fraction form
    10,222.85/15,345.23 = 8,298.29/x
  3. Step 3: Cross multiply
    10,222.85x = 15,345.23 × 8,298.29
  4. Step 4: Simplify right side
    10,222.85x = 127,339,165.53
  5. Step 5: Solve for x
    x = 127,339,165.53/10,222.85
  6. Step 6: Final answer
    x = 12,456.32

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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.