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Finding the Fourth Proportional to 22,642.98, 33,953.55 and 9,491.82

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Solution

The fourth proportional to 22,642.98, 33,953.55 and 9,491.82 is: 14,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.98 : 33,953.55 = 9,491.82 : x
  2. Step 2: Convert to fraction form
    22,642.98/33,953.55 = 9,491.82/x
  3. Step 3: Cross multiply
    22,642.98x = 33,953.55 × 9,491.82
  4. Step 4: Simplify right side
    22,642.98x = 322,280,822.04
  5. Step 5: Solve for x
    x = 322,280,822.04/22,642.98
  6. Step 6: Final answer
    x = 14,233.15

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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.