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Finding the Fourth Proportional to 22,502.95, 33,764.94 and 9,851.08

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Solution

The fourth proportional to 22,502.95, 33,764.94 and 9,851.08 is: 14,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.95 : 33,764.94 = 9,851.08 : x
  2. Step 2: Convert to fraction form
    22,502.95/33,764.94 = 9,851.08/x
  3. Step 3: Cross multiply
    22,502.95x = 33,764.94 × 9,851.08
  4. Step 4: Simplify right side
    22,502.95x = 332,621,253.42
  5. Step 5: Solve for x
    x = 332,621,253.42/22,502.95
  6. Step 6: Final answer
    x = 14,781.23

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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.