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Finding the Fourth Proportional to 24,905.95, 37,359.74 and 10,114.54

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Solution

The fourth proportional to 24,905.95, 37,359.74 and 10,114.54 is: 15,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,905.95 : 37,359.74 = 10,114.54 : x
  2. Step 2: Convert to fraction form
    24,905.95/37,359.74 = 10,114.54/x
  3. Step 3: Cross multiply
    24,905.95x = 37,359.74 × 10,114.54
  4. Step 4: Simplify right side
    24,905.95x = 377,876,584.62
  5. Step 5: Solve for x
    x = 377,876,584.62/24,905.95
  6. Step 6: Final answer
    x = 15,172.14

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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.