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Finding the Fourth Proportional to 20,689.30, 31,041.47 and 10,158.20

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Solution

The fourth proportional to 20,689.30, 31,041.47 and 10,158.20 is: 15,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.30 : 31,041.47 = 10,158.20 : x
  2. Step 2: Convert to fraction form
    20,689.30/31,041.47 = 10,158.20/x
  3. Step 3: Cross multiply
    20,689.30x = 31,041.47 × 10,158.20
  4. Step 4: Simplify right side
    20,689.30x = 315,325,409.76
  5. Step 5: Solve for x
    x = 315,325,409.76/20,689.30
  6. Step 6: Final answer
    x = 15,240.99

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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.