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Finding the Fourth Proportional to 17,895.78, 24,698.34 and 10,822.86

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Solution

The fourth proportional to 17,895.78, 24,698.34 and 10,822.86 is: 14,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,895.78 : 24,698.34 = 10,822.86 : x
  2. Step 2: Convert to fraction form
    17,895.78/24,698.34 = 10,822.86/x
  3. Step 3: Cross multiply
    17,895.78x = 24,698.34 × 10,822.86
  4. Step 4: Simplify right side
    17,895.78x = 267,306,676.05
  5. Step 5: Solve for x
    x = 267,306,676.05/17,895.78
  6. Step 6: Final answer
    x = 14,936.86

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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.