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Finding the Fourth Proportional to 22,639.90, 33,959.86 and 7,848.82

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Solution

The fourth proportional to 22,639.90, 33,959.86 and 7,848.82 is: 11,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,639.90 : 33,959.86 = 7,848.82 : x
  2. Step 2: Convert to fraction form
    22,639.90/33,959.86 = 7,848.82/x
  3. Step 3: Cross multiply
    22,639.90x = 33,959.86 × 7,848.82
  4. Step 4: Simplify right side
    22,639.90x = 266,544,828.37
  5. Step 5: Solve for x
    x = 266,544,828.37/22,639.90
  6. Step 6: Final answer
    x = 11,773.23

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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.