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Finding the Fourth Proportional to 20,246.76, 30,319.92 and 14,013

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Solution

The fourth proportional to 20,246.76, 30,319.92 and 14,013 is: 20,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,246.76 : 30,319.92 = 14,013 : x
  2. Step 2: Convert to fraction form
    20,246.76/30,319.92 = 14,013/x
  3. Step 3: Cross multiply
    20,246.76x = 30,319.92 × 14,013
  4. Step 4: Simplify right side
    20,246.76x = 424,873,038.96
  5. Step 5: Solve for x
    x = 424,873,038.96/20,246.76
  6. Step 6: Final answer
    x = 20,984.74

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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.