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Finding the Fourth Proportional to 22,872.88, 31,561.80 and 12,801.84

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Solution

The fourth proportional to 22,872.88, 31,561.80 and 12,801.84 is: 17,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,872.88 : 31,561.80 = 12,801.84 : x
  2. Step 2: Convert to fraction form
    22,872.88/31,561.80 = 12,801.84/x
  3. Step 3: Cross multiply
    22,872.88x = 31,561.80 × 12,801.84
  4. Step 4: Simplify right side
    22,872.88x = 404,049,113.71
  5. Step 5: Solve for x
    x = 404,049,113.71/22,872.88
  6. Step 6: Final answer
    x = 17,664.99

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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.