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Finding the Fourth Proportional to 17,703, 24,432.57 and 10,251

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Solution

The fourth proportional to 17,703, 24,432.57 and 10,251 is: 14,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703 : 24,432.57 = 10,251 : x
  2. Step 2: Convert to fraction form
    17,703/24,432.57 = 10,251/x
  3. Step 3: Cross multiply
    17,703x = 24,432.57 × 10,251
  4. Step 4: Simplify right side
    17,703x = 250,458,275.07
  5. Step 5: Solve for x
    x = 250,458,275.07/17,703
  6. Step 6: Final answer
    x = 14,147.79

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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.