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Finding the Fourth Proportional to 24,775.95, 37,165.14 and 9,982.86

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Solution

The fourth proportional to 24,775.95, 37,165.14 and 9,982.86 is: 14,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,775.95 : 37,165.14 = 9,982.86 : x
  2. Step 2: Convert to fraction form
    24,775.95/37,165.14 = 9,982.86/x
  3. Step 3: Cross multiply
    24,775.95x = 37,165.14 × 9,982.86
  4. Step 4: Simplify right side
    24,775.95x = 371,014,389.50
  5. Step 5: Solve for x
    x = 371,014,389.50/24,775.95
  6. Step 6: Final answer
    x = 14,974.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.