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Finding the Fourth Proportional to 13,468.67, 20,205.53 and 4,109.52

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Solution

The fourth proportional to 13,468.67, 20,205.53 and 4,109.52 is: 6,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.67 : 20,205.53 = 4,109.52 : x
  2. Step 2: Convert to fraction form
    13,468.67/20,205.53 = 4,109.52/x
  3. Step 3: Cross multiply
    13,468.67x = 20,205.53 × 4,109.52
  4. Step 4: Simplify right side
    13,468.67x = 83,035,009.10
  5. Step 5: Solve for x
    x = 83,035,009.10/13,468.67
  6. Step 6: Final answer
    x = 6,165.05

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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.