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Finding the Fourth Proportional to 12,432, 18,632.80 and 5,849.44

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Solution

The fourth proportional to 12,432, 18,632.80 and 5,849.44 is: 8,767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432 : 18,632.80 = 5,849.44 : x
  2. Step 2: Convert to fraction form
    12,432/18,632.80 = 5,849.44/x
  3. Step 3: Cross multiply
    12,432x = 18,632.80 × 5,849.44
  4. Step 4: Simplify right side
    12,432x = 108,991,445.63
  5. Step 5: Solve for x
    x = 108,991,445.63/12,432
  6. Step 6: Final answer
    x = 8,767.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.