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Finding the Fourth Proportional to 22,590.36, 33,883.65 and 7,006.50

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Solution

The fourth proportional to 22,590.36, 33,883.65 and 7,006.50 is: 10,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,590.36 : 33,883.65 = 7,006.50 : x
  2. Step 2: Convert to fraction form
    22,590.36/33,883.65 = 7,006.50/x
  3. Step 3: Cross multiply
    22,590.36x = 33,883.65 × 7,006.50
  4. Step 4: Simplify right side
    22,590.36x = 237,405,793.73
  5. Step 5: Solve for x
    x = 237,405,793.73/22,590.36
  6. Step 6: Final answer
    x = 10,509.16

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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.