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Finding the Fourth Proportional to 17,974.95, 24,800.07 and 10,420.89

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Solution

The fourth proportional to 17,974.95, 24,800.07 and 10,420.89 is: 14,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.95 : 24,800.07 = 10,420.89 : x
  2. Step 2: Convert to fraction form
    17,974.95/24,800.07 = 10,420.89/x
  3. Step 3: Cross multiply
    17,974.95x = 24,800.07 × 10,420.89
  4. Step 4: Simplify right side
    17,974.95x = 258,438,747.54
  5. Step 5: Solve for x
    x = 258,438,747.54/17,974.95
  6. Step 6: Final answer
    x = 14,377.72

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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.