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Finding the Fourth Proportional to 22,586.68, 31,169.16 and 12,515.09

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Solution

The fourth proportional to 22,586.68, 31,169.16 and 12,515.09 is: 17,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.68 : 31,169.16 = 12,515.09 : x
  2. Step 2: Convert to fraction form
    22,586.68/31,169.16 = 12,515.09/x
  3. Step 3: Cross multiply
    22,586.68x = 31,169.16 × 12,515.09
  4. Step 4: Simplify right side
    22,586.68x = 390,084,624.20
  5. Step 5: Solve for x
    x = 390,084,624.20/22,586.68
  6. Step 6: Final answer
    x = 17,270.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.