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Finding the Fourth Proportional to 25,674.37, 38,515.80 and 8,148.40

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Solution

The fourth proportional to 25,674.37, 38,515.80 and 8,148.40 is: 12,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.37 : 38,515.80 = 8,148.40 : x
  2. Step 2: Convert to fraction form
    25,674.37/38,515.80 = 8,148.40/x
  3. Step 3: Cross multiply
    25,674.37x = 38,515.80 × 8,148.40
  4. Step 4: Simplify right side
    25,674.37x = 313,842,078.99
  5. Step 5: Solve for x
    x = 313,842,078.99/25,674.37
  6. Step 6: Final answer
    x = 12,223.95

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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.