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Finding the Fourth Proportional to 22,299, 33,463.86 and 7,707

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Solution

The fourth proportional to 22,299, 33,463.86 and 7,707 is: 11,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299 : 33,463.86 = 7,707 : x
  2. Step 2: Convert to fraction form
    22,299/33,463.86 = 7,707/x
  3. Step 3: Cross multiply
    22,299x = 33,463.86 × 7,707
  4. Step 4: Simplify right side
    22,299x = 257,905,969.02
  5. Step 5: Solve for x
    x = 257,905,969.02/22,299
  6. Step 6: Final answer
    x = 11,565.81

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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.