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Finding the Fourth Proportional to 25,029.70, 37,538.63 and 9,226.14

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Solution

The fourth proportional to 25,029.70, 37,538.63 and 9,226.14 is: 13,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,029.70 : 37,538.63 = 9,226.14 : x
  2. Step 2: Convert to fraction form
    25,029.70/37,538.63 = 9,226.14/x
  3. Step 3: Cross multiply
    25,029.70x = 37,538.63 × 9,226.14
  4. Step 4: Simplify right side
    25,029.70x = 346,336,609.66
  5. Step 5: Solve for x
    x = 346,336,609.66/25,029.70
  6. Step 6: Final answer
    x = 13,837.03

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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.