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Finding the Fourth Proportional to 23,468.26, 32,396.34 and 14,035

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Solution

The fourth proportional to 23,468.26, 32,396.34 and 14,035 is: 19,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.26 : 32,396.34 = 14,035 : x
  2. Step 2: Convert to fraction form
    23,468.26/32,396.34 = 14,035/x
  3. Step 3: Cross multiply
    23,468.26x = 32,396.34 × 14,035
  4. Step 4: Simplify right side
    23,468.26x = 454,682,631.90
  5. Step 5: Solve for x
    x = 454,682,631.90/23,468.26
  6. Step 6: Final answer
    x = 19,374.36

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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.