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Finding the Fourth Proportional to 23,902.41, 35,857.86 and 9,112.71

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Solution

The fourth proportional to 23,902.41, 35,857.86 and 9,112.71 is: 13,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.41 : 35,857.86 = 9,112.71 : x
  2. Step 2: Convert to fraction form
    23,902.41/35,857.86 = 9,112.71/x
  3. Step 3: Cross multiply
    23,902.41x = 35,857.86 × 9,112.71
  4. Step 4: Simplify right side
    23,902.41x = 326,762,279.40
  5. Step 5: Solve for x
    x = 326,762,279.40/23,902.41
  6. Step 6: Final answer
    x = 13,670.68

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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.