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Finding the Fourth Proportional to 20,062.63, 30,098 and 13,825.63

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Solution

The fourth proportional to 20,062.63, 30,098 and 13,825.63 is: 20,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,062.63 : 30,098 = 13,825.63 : x
  2. Step 2: Convert to fraction form
    20,062.63/30,098 = 13,825.63/x
  3. Step 3: Cross multiply
    20,062.63x = 30,098 × 13,825.63
  4. Step 4: Simplify right side
    20,062.63x = 416,123,811.74
  5. Step 5: Solve for x
    x = 416,123,811.74/20,062.63
  6. Step 6: Final answer
    x = 20,741.24

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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.