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Finding the Fourth Proportional to 24,734.42, 37,101.62 and 6,014.34

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Solution

The fourth proportional to 24,734.42, 37,101.62 and 6,014.34 is: 9,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.42 : 37,101.62 = 6,014.34 : x
  2. Step 2: Convert to fraction form
    24,734.42/37,101.62 = 6,014.34/x
  3. Step 3: Cross multiply
    24,734.42x = 37,101.62 × 6,014.34
  4. Step 4: Simplify right side
    24,734.42x = 223,141,757.23
  5. Step 5: Solve for x
    x = 223,141,757.23/24,734.42
  6. Step 6: Final answer
    x = 9,021.51

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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.