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Finding the Fourth Proportional to 22,633.76, 34,005.99 and 21,374.86

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Solution

The fourth proportional to 22,633.76, 34,005.99 and 21,374.86 is: 32,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.76 : 34,005.99 = 21,374.86 : x
  2. Step 2: Convert to fraction form
    22,633.76/34,005.99 = 21,374.86/x
  3. Step 3: Cross multiply
    22,633.76x = 34,005.99 × 21,374.86
  4. Step 4: Simplify right side
    22,633.76x = 726,873,275.41
  5. Step 5: Solve for x
    x = 726,873,275.41/22,633.76
  6. Step 6: Final answer
    x = 32,114.56

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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.