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Finding the Fourth Proportional to 17,671.98, 24,391.54 and 10,122.66

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Solution

The fourth proportional to 17,671.98, 24,391.54 and 10,122.66 is: 13,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.98 : 24,391.54 = 10,122.66 : x
  2. Step 2: Convert to fraction form
    17,671.98/24,391.54 = 10,122.66/x
  3. Step 3: Cross multiply
    17,671.98x = 24,391.54 × 10,122.66
  4. Step 4: Simplify right side
    17,671.98x = 246,907,266.30
  5. Step 5: Solve for x
    x = 246,907,266.30/17,671.98
  6. Step 6: Final answer
    x = 13,971.68

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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.