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Finding the Fourth Proportional to 16,017.91, 24,031.25 and 7,704.88

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Solution

The fourth proportional to 16,017.91, 24,031.25 and 7,704.88 is: 11,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,017.91 : 24,031.25 = 7,704.88 : x
  2. Step 2: Convert to fraction form
    16,017.91/24,031.25 = 7,704.88/x
  3. Step 3: Cross multiply
    16,017.91x = 24,031.25 × 7,704.88
  4. Step 4: Simplify right side
    16,017.91x = 185,157,897.50
  5. Step 5: Solve for x
    x = 185,157,897.50/16,017.91
  6. Step 6: Final answer
    x = 11,559.43

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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.