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Finding the Fourth Proportional to 22,038.28, 33,053.10 and 8,184.04

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Solution

The fourth proportional to 22,038.28, 33,053.10 and 8,184.04 is: 12,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.28 : 33,053.10 = 8,184.04 : x
  2. Step 2: Convert to fraction form
    22,038.28/33,053.10 = 8,184.04/x
  3. Step 3: Cross multiply
    22,038.28x = 33,053.10 × 8,184.04
  4. Step 4: Simplify right side
    22,038.28x = 270,507,892.52
  5. Step 5: Solve for x
    x = 270,507,892.52/22,038.28
  6. Step 6: Final answer
    x = 12,274.46

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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.