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Finding the Fourth Proportional to 22,745.78, 34,126.41 and 13,878.86

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Solution

The fourth proportional to 22,745.78, 34,126.41 and 13,878.86 is: 20,823.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,745.78 : 34,126.41 = 13,878.86 : x
  2. Step 2: Convert to fraction form
    22,745.78/34,126.41 = 13,878.86/x
  3. Step 3: Cross multiply
    22,745.78x = 34,126.41 × 13,878.86
  4. Step 4: Simplify right side
    22,745.78x = 473,635,666.69
  5. Step 5: Solve for x
    x = 473,635,666.69/22,745.78
  6. Step 6: Final answer
    x = 20,823.01

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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.