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Finding the Fourth Proportional to 24,695.66, 37,016.76 and 9,896.96

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Solution

The fourth proportional to 24,695.66, 37,016.76 and 9,896.96 is: 14,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,695.66 : 37,016.76 = 9,896.96 : x
  2. Step 2: Convert to fraction form
    24,695.66/37,016.76 = 9,896.96/x
  3. Step 3: Cross multiply
    24,695.66x = 37,016.76 × 9,896.96
  4. Step 4: Simplify right side
    24,695.66x = 366,353,393.05
  5. Step 5: Solve for x
    x = 366,353,393.05/24,695.66
  6. Step 6: Final answer
    x = 14,834.73

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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.