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Finding the Fourth Proportional to 23,306.90, 32,164.16 and 12,697.22

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Solution

The fourth proportional to 23,306.90, 32,164.16 and 12,697.22 is: 17,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,306.90 : 32,164.16 = 12,697.22 : x
  2. Step 2: Convert to fraction form
    23,306.90/32,164.16 = 12,697.22/x
  3. Step 3: Cross multiply
    23,306.90x = 32,164.16 × 12,697.22
  4. Step 4: Simplify right side
    23,306.90x = 408,395,415.64
  5. Step 5: Solve for x
    x = 408,395,415.64/23,306.90
  6. Step 6: Final answer
    x = 17,522.51

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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.