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Finding the Fourth Proportional to 24,709.48, 37,057.74 and 7,174.60

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Solution

The fourth proportional to 24,709.48, 37,057.74 and 7,174.60 is: 10,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.48 : 37,057.74 = 7,174.60 : x
  2. Step 2: Convert to fraction form
    24,709.48/37,057.74 = 7,174.60/x
  3. Step 3: Cross multiply
    24,709.48x = 37,057.74 × 7,174.60
  4. Step 4: Simplify right side
    24,709.48x = 265,874,461.40
  5. Step 5: Solve for x
    x = 265,874,461.40/24,709.48
  6. Step 6: Final answer
    x = 10,760.02

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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.