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Finding the Fourth Proportional to 16,697.80, 25,038.91 and 9,679.82

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Solution

The fourth proportional to 16,697.80, 25,038.91 and 9,679.82 is: 14,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.80 : 25,038.91 = 9,679.82 : x
  2. Step 2: Convert to fraction form
    16,697.80/25,038.91 = 9,679.82/x
  3. Step 3: Cross multiply
    16,697.80x = 25,038.91 × 9,679.82
  4. Step 4: Simplify right side
    16,697.80x = 242,372,169.55
  5. Step 5: Solve for x
    x = 242,372,169.55/16,697.80
  6. Step 6: Final answer
    x = 14,515.22

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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.