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Finding the Fourth Proportional to 20,700.27, 31,047.62 and 12,381.53

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Solution

The fourth proportional to 20,700.27, 31,047.62 and 12,381.53 is: 18,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,700.27 : 31,047.62 = 12,381.53 : x
  2. Step 2: Convert to fraction form
    20,700.27/31,047.62 = 12,381.53/x
  3. Step 3: Cross multiply
    20,700.27x = 31,047.62 × 12,381.53
  4. Step 4: Simplify right side
    20,700.27x = 384,416,821.31
  5. Step 5: Solve for x
    x = 384,416,821.31/20,700.27
  6. Step 6: Final answer
    x = 18,570.62

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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.