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Finding the Fourth Proportional to 24,187.22, 36,294.83 and 10,146

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Solution

The fourth proportional to 24,187.22, 36,294.83 and 10,146 is: 15,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.22 : 36,294.83 = 10,146 : x
  2. Step 2: Convert to fraction form
    24,187.22/36,294.83 = 10,146/x
  3. Step 3: Cross multiply
    24,187.22x = 36,294.83 × 10,146
  4. Step 4: Simplify right side
    24,187.22x = 368,247,370.55
  5. Step 5: Solve for x
    x = 368,247,370.55/24,187.22
  6. Step 6: Final answer
    x = 15,224.88

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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.