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Finding the Fourth Proportional to 24,716.50, 37,079.42 and 9,926.58

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Solution

The fourth proportional to 24,716.50, 37,079.42 and 9,926.58 is: 14,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.50 : 37,079.42 = 9,926.58 : x
  2. Step 2: Convert to fraction form
    24,716.50/37,079.42 = 9,926.58/x
  3. Step 3: Cross multiply
    24,716.50x = 37,079.42 × 9,926.58
  4. Step 4: Simplify right side
    24,716.50x = 368,071,828.98
  5. Step 5: Solve for x
    x = 368,071,828.98/24,716.50
  6. Step 6: Final answer
    x = 14,891.75

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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.