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Finding the Fourth Proportional to 20,471.40, 30,707.10 and 10,103.40

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Solution

The fourth proportional to 20,471.40, 30,707.10 and 10,103.40 is: 15,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.40 : 30,707.10 = 10,103.40 : x
  2. Step 2: Convert to fraction form
    20,471.40/30,707.10 = 10,103.40/x
  3. Step 3: Cross multiply
    20,471.40x = 30,707.10 × 10,103.40
  4. Step 4: Simplify right side
    20,471.40x = 310,246,114.14
  5. Step 5: Solve for x
    x = 310,246,114.14/20,471.40
  6. Step 6: Final answer
    x = 15,155.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.