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Finding the Fourth Proportional to 20,178.70, 30,268.05 and 15,570.70

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Solution

The fourth proportional to 20,178.70, 30,268.05 and 15,570.70 is: 23,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.70 : 30,268.05 = 15,570.70 : x
  2. Step 2: Convert to fraction form
    20,178.70/30,268.05 = 15,570.70/x
  3. Step 3: Cross multiply
    20,178.70x = 30,268.05 × 15,570.70
  4. Step 4: Simplify right side
    20,178.70x = 471,294,726.14
  5. Step 5: Solve for x
    x = 471,294,726.14/20,178.70
  6. Step 6: Final answer
    x = 23,356.05

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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.