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Finding the Fourth Proportional to 16,600, 24,902.42 and 6,070.52

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Solution

The fourth proportional to 16,600, 24,902.42 and 6,070.52 is: 9,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600 : 24,902.42 = 6,070.52 : x
  2. Step 2: Convert to fraction form
    16,600/24,902.42 = 6,070.52/x
  3. Step 3: Cross multiply
    16,600x = 24,902.42 × 6,070.52
  4. Step 4: Simplify right side
    16,600x = 151,170,638.66
  5. Step 5: Solve for x
    x = 151,170,638.66/16,600
  6. Step 6: Final answer
    x = 9,106.66

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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.