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Finding the Fourth Proportional to 24,728.49, 37,098.27 and 7,862.47

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Solution

The fourth proportional to 24,728.49, 37,098.27 and 7,862.47 is: 11,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.49 : 37,098.27 = 7,862.47 : x
  2. Step 2: Convert to fraction form
    24,728.49/37,098.27 = 7,862.47/x
  3. Step 3: Cross multiply
    24,728.49x = 37,098.27 × 7,862.47
  4. Step 4: Simplify right side
    24,728.49x = 291,683,942.18
  5. Step 5: Solve for x
    x = 291,683,942.18/24,728.49
  6. Step 6: Final answer
    x = 11,795.46

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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.