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Finding the Fourth Proportional to 17,152.38, 23,669.82 and 10,078.56

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Solution

The fourth proportional to 17,152.38, 23,669.82 and 10,078.56 is: 13,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,152.38 : 23,669.82 = 10,078.56 : x
  2. Step 2: Convert to fraction form
    17,152.38/23,669.82 = 10,078.56/x
  3. Step 3: Cross multiply
    17,152.38x = 23,669.82 × 10,078.56
  4. Step 4: Simplify right side
    17,152.38x = 238,557,701.06
  5. Step 5: Solve for x
    x = 238,557,701.06/17,152.38
  6. Step 6: Final answer
    x = 13,908.14

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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.