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Finding the Fourth Proportional to 16,689, 23,031.18 and 9,237

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Solution

The fourth proportional to 16,689, 23,031.18 and 9,237 is: 12,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689 : 23,031.18 = 9,237 : x
  2. Step 2: Convert to fraction form
    16,689/23,031.18 = 9,237/x
  3. Step 3: Cross multiply
    16,689x = 23,031.18 × 9,237
  4. Step 4: Simplify right side
    16,689x = 212,739,009.66
  5. Step 5: Solve for x
    x = 212,739,009.66/16,689
  6. Step 6: Final answer
    x = 12,747.26

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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.