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Finding the Fourth Proportional to 25,294.24, 37,943.04 and 7,764.16

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Solution

The fourth proportional to 25,294.24, 37,943.04 and 7,764.16 is: 11,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.24 : 37,943.04 = 7,764.16 : x
  2. Step 2: Convert to fraction form
    25,294.24/37,943.04 = 7,764.16/x
  3. Step 3: Cross multiply
    25,294.24x = 37,943.04 × 7,764.16
  4. Step 4: Simplify right side
    25,294.24x = 294,595,833.45
  5. Step 5: Solve for x
    x = 294,595,833.45/25,294.24
  6. Step 6: Final answer
    x = 11,646.76

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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.