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Finding the Fourth Proportional to 23,309.28, 32,162.37 and 13,752.18

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Solution

The fourth proportional to 23,309.28, 32,162.37 and 13,752.18 is: 18,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.28 : 32,162.37 = 13,752.18 : x
  2. Step 2: Convert to fraction form
    23,309.28/32,162.37 = 13,752.18/x
  3. Step 3: Cross multiply
    23,309.28x = 32,162.37 × 13,752.18
  4. Step 4: Simplify right side
    23,309.28x = 442,302,701.47
  5. Step 5: Solve for x
    x = 442,302,701.47/23,309.28
  6. Step 6: Final answer
    x = 18,975.39

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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.