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Finding the Fourth Proportional to 25,344.20, 37,995.76 and 10,564.20

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Solution

The fourth proportional to 25,344.20, 37,995.76 and 10,564.20 is: 15,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344.20 : 37,995.76 = 10,564.20 : x
  2. Step 2: Convert to fraction form
    25,344.20/37,995.76 = 10,564.20/x
  3. Step 3: Cross multiply
    25,344.20x = 37,995.76 × 10,564.20
  4. Step 4: Simplify right side
    25,344.20x = 401,394,807.79
  5. Step 5: Solve for x
    x = 401,394,807.79/25,344.20
  6. Step 6: Final answer
    x = 15,837.74

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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.