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Finding the Fourth Proportional to 22,005, 33,007.50 and 9,693

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Solution

The fourth proportional to 22,005, 33,007.50 and 9,693 is: 14,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005 : 33,007.50 = 9,693 : x
  2. Step 2: Convert to fraction form
    22,005/33,007.50 = 9,693/x
  3. Step 3: Cross multiply
    22,005x = 33,007.50 × 9,693
  4. Step 4: Simplify right side
    22,005x = 319,941,697.50
  5. Step 5: Solve for x
    x = 319,941,697.50/22,005
  6. Step 6: Final answer
    x = 14,539.50

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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.