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Finding the Fourth Proportional to 13,421.70, 20,132.55 and 13,191.30

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Solution

The fourth proportional to 13,421.70, 20,132.55 and 13,191.30 is: 19,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.70 : 20,132.55 = 13,191.30 : x
  2. Step 2: Convert to fraction form
    13,421.70/20,132.55 = 13,191.30/x
  3. Step 3: Cross multiply
    13,421.70x = 20,132.55 × 13,191.30
  4. Step 4: Simplify right side
    13,421.70x = 265,574,506.82
  5. Step 5: Solve for x
    x = 265,574,506.82/13,421.70
  6. Step 6: Final answer
    x = 19,786.95

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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.