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Finding the Fourth Proportional to 15,105.25, 22,662.69 and 6,337.81

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Solution

The fourth proportional to 15,105.25, 22,662.69 and 6,337.81 is: 9,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.25 : 22,662.69 = 6,337.81 : x
  2. Step 2: Convert to fraction form
    15,105.25/22,662.69 = 6,337.81/x
  3. Step 3: Cross multiply
    15,105.25x = 22,662.69 × 6,337.81
  4. Step 4: Simplify right side
    15,105.25x = 143,631,823.31
  5. Step 5: Solve for x
    x = 143,631,823.31/15,105.25
  6. Step 6: Final answer
    x = 9,508.74

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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.