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Finding the Fourth Proportional to 22,596.51, 33,894.59 and 6,801.47

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Solution

The fourth proportional to 22,596.51, 33,894.59 and 6,801.47 is: 10,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.51 : 33,894.59 = 6,801.47 : x
  2. Step 2: Convert to fraction form
    22,596.51/33,894.59 = 6,801.47/x
  3. Step 3: Cross multiply
    22,596.51x = 33,894.59 × 6,801.47
  4. Step 4: Simplify right side
    22,596.51x = 230,532,884.58
  5. Step 5: Solve for x
    x = 230,532,884.58/22,596.51
  6. Step 6: Final answer
    x = 10,202.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.