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Finding the Fourth Proportional to 20,857.16, 31,298.70 and 8,545.16

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Solution

The fourth proportional to 20,857.16, 31,298.70 and 8,545.16 is: 12,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.16 : 31,298.70 = 8,545.16 : x
  2. Step 2: Convert to fraction form
    20,857.16/31,298.70 = 8,545.16/x
  3. Step 3: Cross multiply
    20,857.16x = 31,298.70 × 8,545.16
  4. Step 4: Simplify right side
    20,857.16x = 267,452,399.29
  5. Step 5: Solve for x
    x = 267,452,399.29/20,857.16
  6. Step 6: Final answer
    x = 12,823.05

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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.