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Finding the Fourth Proportional to 29,396.02, 40,565.34 and 15,967

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Solution

The fourth proportional to 29,396.02, 40,565.34 and 15,967 is: 22,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,396.02 : 40,565.34 = 15,967 : x
  2. Step 2: Convert to fraction form
    29,396.02/40,565.34 = 15,967/x
  3. Step 3: Cross multiply
    29,396.02x = 40,565.34 × 15,967
  4. Step 4: Simplify right side
    29,396.02x = 647,706,783.78
  5. Step 5: Solve for x
    x = 647,706,783.78/29,396.02
  6. Step 6: Final answer
    x = 22,033.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.