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Finding the Fourth Proportional to 20,975.16, 31,473.71 and 8,496.51

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Solution

The fourth proportional to 20,975.16, 31,473.71 and 8,496.51 is: 12,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975.16 : 31,473.71 = 8,496.51 : x
  2. Step 2: Convert to fraction form
    20,975.16/31,473.71 = 8,496.51/x
  3. Step 3: Cross multiply
    20,975.16x = 31,473.71 × 8,496.51
  4. Step 4: Simplify right side
    20,975.16x = 267,416,691.75
  5. Step 5: Solve for x
    x = 267,416,691.75/20,975.16
  6. Step 6: Final answer
    x = 12,749.21

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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.