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Finding the Fourth Proportional to 22,488.25, 33,734.01 and 8,637.25

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Solution

The fourth proportional to 22,488.25, 33,734.01 and 8,637.25 is: 12,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,488.25 : 33,734.01 = 8,637.25 : x
  2. Step 2: Convert to fraction form
    22,488.25/33,734.01 = 8,637.25/x
  3. Step 3: Cross multiply
    22,488.25x = 33,734.01 × 8,637.25
  4. Step 4: Simplify right side
    22,488.25x = 291,369,077.87
  5. Step 5: Solve for x
    x = 291,369,077.87/22,488.25
  6. Step 6: Final answer
    x = 12,956.50

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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.