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Finding the Fourth Proportional to 23,443.29, 32,352.12 and 12,832.74

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Solution

The fourth proportional to 23,443.29, 32,352.12 and 12,832.74 is: 17,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,443.29 : 32,352.12 = 12,832.74 : x
  2. Step 2: Convert to fraction form
    23,443.29/32,352.12 = 12,832.74/x
  3. Step 3: Cross multiply
    23,443.29x = 32,352.12 × 12,832.74
  4. Step 4: Simplify right side
    23,443.29x = 415,166,344.41
  5. Step 5: Solve for x
    x = 415,166,344.41/23,443.29
  6. Step 6: Final answer
    x = 17,709.39

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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.