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Finding the Fourth Proportional to 22,407.25, 30,922.73 and 12,335.17

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Solution

The fourth proportional to 22,407.25, 30,922.73 and 12,335.17 is: 17,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.25 : 30,922.73 = 12,335.17 : x
  2. Step 2: Convert to fraction form
    22,407.25/30,922.73 = 12,335.17/x
  3. Step 3: Cross multiply
    22,407.25x = 30,922.73 × 12,335.17
  4. Step 4: Simplify right side
    22,407.25x = 381,437,069.74
  5. Step 5: Solve for x
    x = 381,437,069.74/22,407.25
  6. Step 6: Final answer
    x = 17,022.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.