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Finding the Fourth Proportional to 22,575.84, 31,081.90 and 19,382.82

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Solution

The fourth proportional to 22,575.84, 31,081.90 and 19,382.82 is: 26,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.84 : 31,081.90 = 19,382.82 : x
  2. Step 2: Convert to fraction form
    22,575.84/31,081.90 = 19,382.82/x
  3. Step 3: Cross multiply
    22,575.84x = 31,081.90 × 19,382.82
  4. Step 4: Simplify right side
    22,575.84x = 602,454,872.96
  5. Step 5: Solve for x
    x = 602,454,872.96/22,575.84
  6. Step 6: Final answer
    x = 26,685.82

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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.