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Finding the Fourth Proportional to 13,524.96, 20,291.07 and 4,165.20

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Solution

The fourth proportional to 13,524.96, 20,291.07 and 4,165.20 is: 6,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.96 : 20,291.07 = 4,165.20 : x
  2. Step 2: Convert to fraction form
    13,524.96/20,291.07 = 4,165.20/x
  3. Step 3: Cross multiply
    13,524.96x = 20,291.07 × 4,165.20
  4. Step 4: Simplify right side
    13,524.96x = 84,516,364.76
  5. Step 5: Solve for x
    x = 84,516,364.76/13,524.96
  6. Step 6: Final answer
    x = 6,248.92

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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.