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Finding the Fourth Proportional to 19,974.69, 29,915.35 and 15,786.59

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Solution

The fourth proportional to 19,974.69, 29,915.35 and 15,786.59 is: 23,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.69 : 29,915.35 = 15,786.59 : x
  2. Step 2: Convert to fraction form
    19,974.69/29,915.35 = 15,786.59/x
  3. Step 3: Cross multiply
    19,974.69x = 29,915.35 × 15,786.59
  4. Step 4: Simplify right side
    19,974.69x = 472,261,176.11
  5. Step 5: Solve for x
    x = 472,261,176.11/19,974.69
  6. Step 6: Final answer
    x = 23,642.98

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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.