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Finding the Fourth Proportional to 24,277.70, 36,416.56 and 13,882.16

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Solution

The fourth proportional to 24,277.70, 36,416.56 and 13,882.16 is: 20,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.70 : 36,416.56 = 13,882.16 : x
  2. Step 2: Convert to fraction form
    24,277.70/36,416.56 = 13,882.16/x
  3. Step 3: Cross multiply
    24,277.70x = 36,416.56 × 13,882.16
  4. Step 4: Simplify right side
    24,277.70x = 505,540,512.57
  5. Step 5: Solve for x
    x = 505,540,512.57/24,277.70
  6. Step 6: Final answer
    x = 20,823.25

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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.