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Finding the Fourth Proportional to 20,790.16, 31,193 and 12,476.14

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Solution

The fourth proportional to 20,790.16, 31,193 and 12,476.14 is: 18,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,790.16 : 31,193 = 12,476.14 : x
  2. Step 2: Convert to fraction form
    20,790.16/31,193 = 12,476.14/x
  3. Step 3: Cross multiply
    20,790.16x = 31,193 × 12,476.14
  4. Step 4: Simplify right side
    20,790.16x = 389,168,235.02
  5. Step 5: Solve for x
    x = 389,168,235.02/20,790.16
  6. Step 6: Final answer
    x = 18,718.87

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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.