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Finding the Fourth Proportional to 24,834, 37,243.71 and 7,299.66

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Solution

The fourth proportional to 24,834, 37,243.71 and 7,299.66 is: 10,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834 : 37,243.71 = 7,299.66 : x
  2. Step 2: Convert to fraction form
    24,834/37,243.71 = 7,299.66/x
  3. Step 3: Cross multiply
    24,834x = 37,243.71 × 7,299.66
  4. Step 4: Simplify right side
    24,834x = 271,866,420.14
  5. Step 5: Solve for x
    x = 271,866,420.14/24,834
  6. Step 6: Final answer
    x = 10,947.35

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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.