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Finding the Fourth Proportional to 18,142.39, 25,044.96 and 12,102.69

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Solution

The fourth proportional to 18,142.39, 25,044.96 and 12,102.69 is: 16,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.39 : 25,044.96 = 12,102.69 : x
  2. Step 2: Convert to fraction form
    18,142.39/25,044.96 = 12,102.69/x
  3. Step 3: Cross multiply
    18,142.39x = 25,044.96 × 12,102.69
  4. Step 4: Simplify right side
    18,142.39x = 303,111,386.94
  5. Step 5: Solve for x
    x = 303,111,386.94/18,142.39
  6. Step 6: Final answer
    x = 16,707.36

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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.