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Finding the Fourth Proportional to 25,426.44, 38,124.86 and 9,632.70

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Solution

The fourth proportional to 25,426.44, 38,124.86 and 9,632.70 is: 14,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,426.44 : 38,124.86 = 9,632.70 : x
  2. Step 2: Convert to fraction form
    25,426.44/38,124.86 = 9,632.70/x
  3. Step 3: Cross multiply
    25,426.44x = 38,124.86 × 9,632.70
  4. Step 4: Simplify right side
    25,426.44x = 367,245,338.92
  5. Step 5: Solve for x
    x = 367,245,338.92/25,426.44
  6. Step 6: Final answer
    x = 14,443.44

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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.