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Finding the Fourth Proportional to 22,366.82, 33,548.07 and 6,784.58

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Solution

The fourth proportional to 22,366.82, 33,548.07 and 6,784.58 is: 10,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,366.82 : 33,548.07 = 6,784.58 : x
  2. Step 2: Convert to fraction form
    22,366.82/33,548.07 = 6,784.58/x
  3. Step 3: Cross multiply
    22,366.82x = 33,548.07 × 6,784.58
  4. Step 4: Simplify right side
    22,366.82x = 227,609,564.76
  5. Step 5: Solve for x
    x = 227,609,564.76/22,366.82
  6. Step 6: Final answer
    x = 10,176.21

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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.