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Finding the Fourth Proportional to 23,213.21, 32,034.14 and 12,602.84

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Solution

The fourth proportional to 23,213.21, 32,034.14 and 12,602.84 is: 17,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.21 : 32,034.14 = 12,602.84 : x
  2. Step 2: Convert to fraction form
    23,213.21/32,034.14 = 12,602.84/x
  3. Step 3: Cross multiply
    23,213.21x = 32,034.14 × 12,602.84
  4. Step 4: Simplify right side
    23,213.21x = 403,721,140.96
  5. Step 5: Solve for x
    x = 403,721,140.96/23,213.21
  6. Step 6: Final answer
    x = 17,391.87

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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.