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Finding the Fourth Proportional to 24,677.28, 36,994.80 and 9,896.64

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Solution

The fourth proportional to 24,677.28, 36,994.80 and 9,896.64 is: 14,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,677.28 : 36,994.80 = 9,896.64 : x
  2. Step 2: Convert to fraction form
    24,677.28/36,994.80 = 9,896.64/x
  3. Step 3: Cross multiply
    24,677.28x = 36,994.80 × 9,896.64
  4. Step 4: Simplify right side
    24,677.28x = 366,124,217.47
  5. Step 5: Solve for x
    x = 366,124,217.47/24,677.28
  6. Step 6: Final answer
    x = 14,836.49

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