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Finding the Fourth Proportional to 24,813.48, 37,215.18 and 7,278.60

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Solution

The fourth proportional to 24,813.48, 37,215.18 and 7,278.60 is: 10,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.48 : 37,215.18 = 7,278.60 : x
  2. Step 2: Convert to fraction form
    24,813.48/37,215.18 = 7,278.60/x
  3. Step 3: Cross multiply
    24,813.48x = 37,215.18 × 7,278.60
  4. Step 4: Simplify right side
    24,813.48x = 270,874,409.15
  5. Step 5: Solve for x
    x = 270,874,409.15/24,813.48
  6. Step 6: Final answer
    x = 10,916.42

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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.