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Finding the Fourth Proportional to 23,531.22, 32,469.57 and 12,921.30

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Solution

The fourth proportional to 23,531.22, 32,469.57 and 12,921.30 is: 17,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531.22 : 32,469.57 = 12,921.30 : x
  2. Step 2: Convert to fraction form
    23,531.22/32,469.57 = 12,921.30/x
  3. Step 3: Cross multiply
    23,531.22x = 32,469.57 × 12,921.30
  4. Step 4: Simplify right side
    23,531.22x = 419,549,054.84
  5. Step 5: Solve for x
    x = 419,549,054.84/23,531.22
  6. Step 6: Final answer
    x = 17,829.46

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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.