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Finding the Fourth Proportional to 16,689.50, 23,031.32 and 9,135.74

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Solution

The fourth proportional to 16,689.50, 23,031.32 and 9,135.74 is: 12,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689.50 : 23,031.32 = 9,135.74 : x
  2. Step 2: Convert to fraction form
    16,689.50/23,031.32 = 9,135.74/x
  3. Step 3: Cross multiply
    16,689.50x = 23,031.32 × 9,135.74
  4. Step 4: Simplify right side
    16,689.50x = 210,408,151.38
  5. Step 5: Solve for x
    x = 210,408,151.38/16,689.50
  6. Step 6: Final answer
    x = 12,607.22

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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.