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Finding the Fourth Proportional to 22,888.41, 31,586.90 and 12,816.75

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Solution

The fourth proportional to 22,888.41, 31,586.90 and 12,816.75 is: 17,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,888.41 : 31,586.90 = 12,816.75 : x
  2. Step 2: Convert to fraction form
    22,888.41/31,586.90 = 12,816.75/x
  3. Step 3: Cross multiply
    22,888.41x = 31,586.90 × 12,816.75
  4. Step 4: Simplify right side
    22,888.41x = 404,841,454.94
  5. Step 5: Solve for x
    x = 404,841,454.94/22,888.41
  6. Step 6: Final answer
    x = 17,687.62

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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.