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Finding the Fourth Proportional to 24,697.44, 37,040.40 and 7,162.56

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Solution

The fourth proportional to 24,697.44, 37,040.40 and 7,162.56 is: 10,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.44 : 37,040.40 = 7,162.56 : x
  2. Step 2: Convert to fraction form
    24,697.44/37,040.40 = 7,162.56/x
  3. Step 3: Cross multiply
    24,697.44x = 37,040.40 × 7,162.56
  4. Step 4: Simplify right side
    24,697.44x = 265,304,087.42
  5. Step 5: Solve for x
    x = 265,304,087.42/24,697.44
  6. Step 6: Final answer
    x = 10,742.17

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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.