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Finding the Fourth Proportional to 13,641.12, 20,461.72 and 4,153.52

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Solution

The fourth proportional to 13,641.12, 20,461.72 and 4,153.52 is: 6,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.12 : 20,461.72 = 4,153.52 : x
  2. Step 2: Convert to fraction form
    13,641.12/20,461.72 = 4,153.52/x
  3. Step 3: Cross multiply
    13,641.12x = 20,461.72 × 4,153.52
  4. Step 4: Simplify right side
    13,641.12x = 84,988,163.25
  5. Step 5: Solve for x
    x = 84,988,163.25/13,641.12
  6. Step 6: Final answer
    x = 6,230.29

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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.