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Finding the Fourth Proportional to 22,135.47, 33,208.06 and 6,554.31

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Solution

The fourth proportional to 22,135.47, 33,208.06 and 6,554.31 is: 9,832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.47 : 33,208.06 = 6,554.31 : x
  2. Step 2: Convert to fraction form
    22,135.47/33,208.06 = 6,554.31/x
  3. Step 3: Cross multiply
    22,135.47x = 33,208.06 × 6,554.31
  4. Step 4: Simplify right side
    22,135.47x = 217,655,919.74
  5. Step 5: Solve for x
    x = 217,655,919.74/22,135.47
  6. Step 6: Final answer
    x = 9,832.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.