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Finding the Fourth Proportional to 25,641.28, 38,477.28 and 9,226.56

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Solution

The fourth proportional to 25,641.28, 38,477.28 and 9,226.56 is: 13,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.28 : 38,477.28 = 9,226.56 : x
  2. Step 2: Convert to fraction form
    25,641.28/38,477.28 = 9,226.56/x
  3. Step 3: Cross multiply
    25,641.28x = 38,477.28 × 9,226.56
  4. Step 4: Simplify right side
    25,641.28x = 355,012,932.56
  5. Step 5: Solve for x
    x = 355,012,932.56/25,641.28
  6. Step 6: Final answer
    x = 13,845.37

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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.