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Finding the Fourth Proportional to 13,562.88, 20,346.48 and 4,202.52

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Solution

The fourth proportional to 13,562.88, 20,346.48 and 4,202.52 is: 6,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.88 : 20,346.48 = 4,202.52 : x
  2. Step 2: Convert to fraction form
    13,562.88/20,346.48 = 4,202.52/x
  3. Step 3: Cross multiply
    13,562.88x = 20,346.48 × 4,202.52
  4. Step 4: Simplify right side
    13,562.88x = 85,506,489.13
  5. Step 5: Solve for x
    x = 85,506,489.13/13,562.88
  6. Step 6: Final answer
    x = 6,304.45

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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.