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Finding the Fourth Proportional to 21,881.96, 32,826.78 and 9,578.60

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Solution

The fourth proportional to 21,881.96, 32,826.78 and 9,578.60 is: 14,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.96 : 32,826.78 = 9,578.60 : x
  2. Step 2: Convert to fraction form
    21,881.96/32,826.78 = 9,578.60/x
  3. Step 3: Cross multiply
    21,881.96x = 32,826.78 × 9,578.60
  4. Step 4: Simplify right side
    21,881.96x = 314,434,594.91
  5. Step 5: Solve for x
    x = 314,434,594.91/21,881.96
  6. Step 6: Final answer
    x = 14,369.58

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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.