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Finding the Fourth Proportional to 13,565.98, 20,358.42 and 4,801.24

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Solution

The fourth proportional to 13,565.98, 20,358.42 and 4,801.24 is: 7,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.98 : 20,358.42 = 4,801.24 : x
  2. Step 2: Convert to fraction form
    13,565.98/20,358.42 = 4,801.24/x
  3. Step 3: Cross multiply
    13,565.98x = 20,358.42 × 4,801.24
  4. Step 4: Simplify right side
    13,565.98x = 97,745,660.44
  5. Step 5: Solve for x
    x = 97,745,660.44/13,565.98
  6. Step 6: Final answer
    x = 7,205.20

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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.