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Finding the Fourth Proportional to 23,788.68, 32,826 and 13,178.04

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Solution

The fourth proportional to 23,788.68, 32,826 and 13,178.04 is: 18,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.68 : 32,826 = 13,178.04 : x
  2. Step 2: Convert to fraction form
    23,788.68/32,826 = 13,178.04/x
  3. Step 3: Cross multiply
    23,788.68x = 32,826 × 13,178.04
  4. Step 4: Simplify right side
    23,788.68x = 432,582,341.04
  5. Step 5: Solve for x
    x = 432,582,341.04/23,788.68
  6. Step 6: Final answer
    x = 18,184.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.