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Finding the Fourth Proportional to 16,658, 22,988.04 and 9,206

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Solution

The fourth proportional to 16,658, 22,988.04 and 9,206 is: 12,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658 : 22,988.04 = 9,206 : x
  2. Step 2: Convert to fraction form
    16,658/22,988.04 = 9,206/x
  3. Step 3: Cross multiply
    16,658x = 22,988.04 × 9,206
  4. Step 4: Simplify right side
    16,658x = 211,627,896.24
  5. Step 5: Solve for x
    x = 211,627,896.24/16,658
  6. Step 6: Final answer
    x = 12,704.28

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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.