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Finding the Fourth Proportional to 13,442.96, 20,164.90 and 3,582.25

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Solution

The fourth proportional to 13,442.96, 20,164.90 and 3,582.25 is: 5,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.96 : 20,164.90 = 3,582.25 : x
  2. Step 2: Convert to fraction form
    13,442.96/20,164.90 = 3,582.25/x
  3. Step 3: Cross multiply
    13,442.96x = 20,164.90 × 3,582.25
  4. Step 4: Simplify right side
    13,442.96x = 72,235,773.80
  5. Step 5: Solve for x
    x = 72,235,773.80/13,442.96
  6. Step 6: Final answer
    x = 5,373.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.