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Finding the Fourth Proportional to 13,574.80, 20,362.20 and 10,294.30

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Solution

The fourth proportional to 13,574.80, 20,362.20 and 10,294.30 is: 15,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.80 : 20,362.20 = 10,294.30 : x
  2. Step 2: Convert to fraction form
    13,574.80/20,362.20 = 10,294.30/x
  3. Step 3: Cross multiply
    13,574.80x = 20,362.20 × 10,294.30
  4. Step 4: Simplify right side
    13,574.80x = 209,614,595.46
  5. Step 5: Solve for x
    x = 209,614,595.46/13,574.80
  6. Step 6: Final answer
    x = 15,441.45

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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.