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Finding the Fourth Proportional to 13,402.80, 20,123.40 and 7,570.80

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Solution

The fourth proportional to 13,402.80, 20,123.40 and 7,570.80 is: 11,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.80 : 20,123.40 = 7,570.80 : x
  2. Step 2: Convert to fraction form
    13,402.80/20,123.40 = 7,570.80/x
  3. Step 3: Cross multiply
    13,402.80x = 20,123.40 × 7,570.80
  4. Step 4: Simplify right side
    13,402.80x = 152,350,236.72
  5. Step 5: Solve for x
    x = 152,350,236.72/13,402.80
  6. Step 6: Final answer
    x = 11,367.05

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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.