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Finding the Fourth Proportional to 24,054.12, 36,085.13 and 7,414.16

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Solution

The fourth proportional to 24,054.12, 36,085.13 and 7,414.16 is: 11,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,054.12 : 36,085.13 = 7,414.16 : x
  2. Step 2: Convert to fraction form
    24,054.12/36,085.13 = 7,414.16/x
  3. Step 3: Cross multiply
    24,054.12x = 36,085.13 × 7,414.16
  4. Step 4: Simplify right side
    24,054.12x = 267,540,709.94
  5. Step 5: Solve for x
    x = 267,540,709.94/24,054.12
  6. Step 6: Final answer
    x = 11,122.45

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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.