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Finding the Fourth Proportional to 24,838.36, 37,257.84 and 9,849.16

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Solution

The fourth proportional to 24,838.36, 37,257.84 and 9,849.16 is: 14,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838.36 : 37,257.84 = 9,849.16 : x
  2. Step 2: Convert to fraction form
    24,838.36/37,257.84 = 9,849.16/x
  3. Step 3: Cross multiply
    24,838.36x = 37,257.84 × 9,849.16
  4. Step 4: Simplify right side
    24,838.36x = 366,958,427.41
  5. Step 5: Solve for x
    x = 366,958,427.41/24,838.36
  6. Step 6: Final answer
    x = 14,773.86

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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.