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Finding the Fourth Proportional to 20,033.92, 27,637.50 and 12,962.62

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Solution

The fourth proportional to 20,033.92, 27,637.50 and 12,962.62 is: 17,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.92 : 27,637.50 = 12,962.62 : x
  2. Step 2: Convert to fraction form
    20,033.92/27,637.50 = 12,962.62/x
  3. Step 3: Cross multiply
    20,033.92x = 27,637.50 × 12,962.62
  4. Step 4: Simplify right side
    20,033.92x = 358,254,410.25
  5. Step 5: Solve for x
    x = 358,254,410.25/20,033.92
  6. Step 6: Final answer
    x = 17,882.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.