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Finding the Fourth Proportional to 16,389.63, 24,591.33 and 7,031.70

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Solution

The fourth proportional to 16,389.63, 24,591.33 and 7,031.70 is: 10,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.63 : 24,591.33 = 7,031.70 : x
  2. Step 2: Convert to fraction form
    16,389.63/24,591.33 = 7,031.70/x
  3. Step 3: Cross multiply
    16,389.63x = 24,591.33 × 7,031.70
  4. Step 4: Simplify right side
    16,389.63x = 172,918,855.16
  5. Step 5: Solve for x
    x = 172,918,855.16/16,389.63
  6. Step 6: Final answer
    x = 10,550.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.