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Finding the Fourth Proportional to 24,345, 33,596.16 and 13,167

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Solution

The fourth proportional to 24,345, 33,596.16 and 13,167 is: 18,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,345 : 33,596.16 = 13,167 : x
  2. Step 2: Convert to fraction form
    24,345/33,596.16 = 13,167/x
  3. Step 3: Cross multiply
    24,345x = 33,596.16 × 13,167
  4. Step 4: Simplify right side
    24,345x = 442,360,638.72
  5. Step 5: Solve for x
    x = 442,360,638.72/24,345
  6. Step 6: Final answer
    x = 18,170.49

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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.