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Finding the Fourth Proportional to 24,600.81, 36,919.14 and 9,813.96

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Solution

The fourth proportional to 24,600.81, 36,919.14 and 9,813.96 is: 14,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600.81 : 36,919.14 = 9,813.96 : x
  2. Step 2: Convert to fraction form
    24,600.81/36,919.14 = 9,813.96/x
  3. Step 3: Cross multiply
    24,600.81x = 36,919.14 × 9,813.96
  4. Step 4: Simplify right side
    24,600.81x = 362,322,729.53
  5. Step 5: Solve for x
    x = 362,322,729.53/24,600.81
  6. Step 6: Final answer
    x = 14,728.08

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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.