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Finding the Fourth Proportional to 23,214, 32,034.87 and 13,144.35

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Solution

The fourth proportional to 23,214, 32,034.87 and 13,144.35 is: 18,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214 : 32,034.87 = 13,144.35 : x
  2. Step 2: Convert to fraction form
    23,214/32,034.87 = 13,144.35/x
  3. Step 3: Cross multiply
    23,214x = 32,034.87 × 13,144.35
  4. Step 4: Simplify right side
    23,214x = 421,077,543.48
  5. Step 5: Solve for x
    x = 421,077,543.48/23,214
  6. Step 6: Final answer
    x = 18,138.95

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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.