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Finding the Fourth Proportional to 25,226.88, 37,838.96 and 7,695.36

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Solution

The fourth proportional to 25,226.88, 37,838.96 and 7,695.36 is: 11,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,226.88 : 37,838.96 = 7,695.36 : x
  2. Step 2: Convert to fraction form
    25,226.88/37,838.96 = 7,695.36/x
  3. Step 3: Cross multiply
    25,226.88x = 37,838.96 × 7,695.36
  4. Step 4: Simplify right side
    25,226.88x = 291,184,419.23
  5. Step 5: Solve for x
    x = 291,184,419.23/25,226.88
  6. Step 6: Final answer
    x = 11,542.63

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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.