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Finding the Fourth Proportional to 17,658, 24,370.20 and 10,206

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Solution

The fourth proportional to 17,658, 24,370.20 and 10,206 is: 14,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658 : 24,370.20 = 10,206 : x
  2. Step 2: Convert to fraction form
    17,658/24,370.20 = 10,206/x
  3. Step 3: Cross multiply
    17,658x = 24,370.20 × 10,206
  4. Step 4: Simplify right side
    17,658x = 248,722,261.20
  5. Step 5: Solve for x
    x = 248,722,261.20/17,658
  6. Step 6: Final answer
    x = 14,085.53

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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.