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Finding the Fourth Proportional to 13,565.34, 20,343.87 and 8,017.16

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Solution

The fourth proportional to 13,565.34, 20,343.87 and 8,017.16 is: 12,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.34 : 20,343.87 = 8,017.16 : x
  2. Step 2: Convert to fraction form
    13,565.34/20,343.87 = 8,017.16/x
  3. Step 3: Cross multiply
    13,565.34x = 20,343.87 × 8,017.16
  4. Step 4: Simplify right side
    13,565.34x = 163,099,959.09
  5. Step 5: Solve for x
    x = 163,099,959.09/13,565.34
  6. Step 6: Final answer
    x = 12,023.29

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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.