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Finding the Fourth Proportional to 13,171.20, 19,744.20 and 6,590.76

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Solution

The fourth proportional to 13,171.20, 19,744.20 and 6,590.76 is: 9,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.20 : 19,744.20 = 6,590.76 : x
  2. Step 2: Convert to fraction form
    13,171.20/19,744.20 = 6,590.76/x
  3. Step 3: Cross multiply
    13,171.20x = 19,744.20 × 6,590.76
  4. Step 4: Simplify right side
    13,171.20x = 130,129,283.59
  5. Step 5: Solve for x
    x = 130,129,283.59/13,171.20
  6. Step 6: Final answer
    x = 9,879.84

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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.