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Finding the Fourth Proportional to 22,000.61, 33,007.01 and 10,158

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Solution

The fourth proportional to 22,000.61, 33,007.01 and 10,158 is: 15,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000.61 : 33,007.01 = 10,158 : x
  2. Step 2: Convert to fraction form
    22,000.61/33,007.01 = 10,158/x
  3. Step 3: Cross multiply
    22,000.61x = 33,007.01 × 10,158
  4. Step 4: Simplify right side
    22,000.61x = 335,285,207.58
  5. Step 5: Solve for x
    x = 335,285,207.58/22,000.61
  6. Step 6: Final answer
    x = 15,239.81

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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.