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Finding the Fourth Proportional to 24,857.25, 37,285.66 and 7,326.82

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Solution

The fourth proportional to 24,857.25, 37,285.66 and 7,326.82 is: 10,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.25 : 37,285.66 = 7,326.82 : x
  2. Step 2: Convert to fraction form
    24,857.25/37,285.66 = 7,326.82/x
  3. Step 3: Cross multiply
    24,857.25x = 37,285.66 × 7,326.82
  4. Step 4: Simplify right side
    24,857.25x = 273,185,319.40
  5. Step 5: Solve for x
    x = 273,185,319.40/24,857.25
  6. Step 6: Final answer
    x = 10,990.17

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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.