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Finding the Fourth Proportional to 24,671.85, 36,993.62 and 9,661.40

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Solution

The fourth proportional to 24,671.85, 36,993.62 and 9,661.40 is: 14,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.85 : 36,993.62 = 9,661.40 : x
  2. Step 2: Convert to fraction form
    24,671.85/36,993.62 = 9,661.40/x
  3. Step 3: Cross multiply
    24,671.85x = 36,993.62 × 9,661.40
  4. Step 4: Simplify right side
    24,671.85x = 357,410,160.27
  5. Step 5: Solve for x
    x = 357,410,160.27/24,671.85
  6. Step 6: Final answer
    x = 14,486.56

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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.