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Finding the Fourth Proportional to 20,572.38, 30,907.80 and 13,191.30

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Solution

The fourth proportional to 20,572.38, 30,907.80 and 13,191.30 is: 19,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.38 : 30,907.80 = 13,191.30 : x
  2. Step 2: Convert to fraction form
    20,572.38/30,907.80 = 13,191.30/x
  3. Step 3: Cross multiply
    20,572.38x = 30,907.80 × 13,191.30
  4. Step 4: Simplify right side
    20,572.38x = 407,714,062.14
  5. Step 5: Solve for x
    x = 407,714,062.14/20,572.38
  6. Step 6: Final answer
    x = 19,818.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.