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Finding the Fourth Proportional to 24,709.37, 37,064.13 and 5,989.34

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Solution

The fourth proportional to 24,709.37, 37,064.13 and 5,989.34 is: 8,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.37 : 37,064.13 = 5,989.34 : x
  2. Step 2: Convert to fraction form
    24,709.37/37,064.13 = 5,989.34/x
  3. Step 3: Cross multiply
    24,709.37x = 37,064.13 × 5,989.34
  4. Step 4: Simplify right side
    24,709.37x = 221,989,491.05
  5. Step 5: Solve for x
    x = 221,989,491.05/24,709.37
  6. Step 6: Final answer
    x = 8,984.02

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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.