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Finding the Fourth Proportional to 13,421.72, 20,132.58 and 4,187.72

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Solution

The fourth proportional to 13,421.72, 20,132.58 and 4,187.72 is: 6,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.72 : 20,132.58 = 4,187.72 : x
  2. Step 2: Convert to fraction form
    13,421.72/20,132.58 = 4,187.72/x
  3. Step 3: Cross multiply
    13,421.72x = 20,132.58 × 4,187.72
  4. Step 4: Simplify right side
    13,421.72x = 84,309,507.25
  5. Step 5: Solve for x
    x = 84,309,507.25/13,421.72
  6. Step 6: Final answer
    x = 6,281.57

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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.