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Finding the Fourth Proportional to 24,580.17, 36,862.38 and 7,936.65

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Solution

The fourth proportional to 24,580.17, 36,862.38 and 7,936.65 is: 11,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580.17 : 36,862.38 = 7,936.65 : x
  2. Step 2: Convert to fraction form
    24,580.17/36,862.38 = 7,936.65/x
  3. Step 3: Cross multiply
    24,580.17x = 36,862.38 × 7,936.65
  4. Step 4: Simplify right side
    24,580.17x = 292,563,808.23
  5. Step 5: Solve for x
    x = 292,563,808.23/24,580.17
  6. Step 6: Final answer
    x = 11,902.43

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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.