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Finding the Fourth Proportional to 17,658, 24,371.28 and 10,206

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Solution

The fourth proportional to 17,658, 24,371.28 and 10,206 is: 14,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658 : 24,371.28 = 10,206 : x
  2. Step 2: Convert to fraction form
    17,658/24,371.28 = 10,206/x
  3. Step 3: Cross multiply
    17,658x = 24,371.28 × 10,206
  4. Step 4: Simplify right side
    17,658x = 248,733,283.68
  5. Step 5: Solve for x
    x = 248,733,283.68/17,658
  6. Step 6: Final answer
    x = 14,086.15

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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.