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Finding the Fourth Proportional to 22,424.08, 33,637.20 and 8,572

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Solution

The fourth proportional to 22,424.08, 33,637.20 and 8,572 is: 12,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.08 : 33,637.20 = 8,572 : x
  2. Step 2: Convert to fraction form
    22,424.08/33,637.20 = 8,572/x
  3. Step 3: Cross multiply
    22,424.08x = 33,637.20 × 8,572
  4. Step 4: Simplify right side
    22,424.08x = 288,338,078.40
  5. Step 5: Solve for x
    x = 288,338,078.40/22,424.08
  6. Step 6: Final answer
    x = 12,858.41

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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.