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Finding the Fourth Proportional to 22,053, 33,080.04 and 5,637

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Solution

The fourth proportional to 22,053, 33,080.04 and 5,637 is: 8,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,053 : 33,080.04 = 5,637 : x
  2. Step 2: Convert to fraction form
    22,053/33,080.04 = 5,637/x
  3. Step 3: Cross multiply
    22,053x = 33,080.04 × 5,637
  4. Step 4: Simplify right side
    22,053x = 186,472,185.48
  5. Step 5: Solve for x
    x = 186,472,185.48/22,053
  6. Step 6: Final answer
    x = 8,455.64

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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.