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Finding the Fourth Proportional to 23,767.20, 32,796 and 13,156.80

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Solution

The fourth proportional to 23,767.20, 32,796 and 13,156.80 is: 18,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.20 : 32,796 = 13,156.80 : x
  2. Step 2: Convert to fraction form
    23,767.20/32,796 = 13,156.80/x
  3. Step 3: Cross multiply
    23,767.20x = 32,796 × 13,156.80
  4. Step 4: Simplify right side
    23,767.20x = 431,490,412.80
  5. Step 5: Solve for x
    x = 431,490,412.80/23,767.20
  6. Step 6: Final answer
    x = 18,154.87

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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.