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Finding the Fourth Proportional to 22,897.84, 31,568.78 and 16,519.10

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Solution

The fourth proportional to 22,897.84, 31,568.78 and 16,519.10 is: 22,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.84 : 31,568.78 = 16,519.10 : x
  2. Step 2: Convert to fraction form
    22,897.84/31,568.78 = 16,519.10/x
  3. Step 3: Cross multiply
    22,897.84x = 31,568.78 × 16,519.10
  4. Step 4: Simplify right side
    22,897.84x = 521,487,833.70
  5. Step 5: Solve for x
    x = 521,487,833.70/22,897.84
  6. Step 6: Final answer
    x = 22,774.54

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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.