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Finding the Fourth Proportional to 22,617.72, 33,929.10 and 7,827.96

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Solution

The fourth proportional to 22,617.72, 33,929.10 and 7,827.96 is: 11,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.72 : 33,929.10 = 7,827.96 : x
  2. Step 2: Convert to fraction form
    22,617.72/33,929.10 = 7,827.96/x
  3. Step 3: Cross multiply
    22,617.72x = 33,929.10 × 7,827.96
  4. Step 4: Simplify right side
    22,617.72x = 265,595,637.64
  5. Step 5: Solve for x
    x = 265,595,637.64/22,617.72
  6. Step 6: Final answer
    x = 11,742.81

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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.