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Finding the Fourth Proportional to 23,494.65, 32,420.82 and 13,422.70

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Solution

The fourth proportional to 23,494.65, 32,420.82 and 13,422.70 is: 18,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,494.65 : 32,420.82 = 13,422.70 : x
  2. Step 2: Convert to fraction form
    23,494.65/32,420.82 = 13,422.70/x
  3. Step 3: Cross multiply
    23,494.65x = 32,420.82 × 13,422.70
  4. Step 4: Simplify right side
    23,494.65x = 435,174,940.61
  5. Step 5: Solve for x
    x = 435,174,940.61/23,494.65
  6. Step 6: Final answer
    x = 18,522.30

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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.