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Finding the Fourth Proportional to 25,634.60, 38,444.70 and 8,109.80

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Solution

The fourth proportional to 25,634.60, 38,444.70 and 8,109.80 is: 12,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,634.60 : 38,444.70 = 8,109.80 : x
  2. Step 2: Convert to fraction form
    25,634.60/38,444.70 = 8,109.80/x
  3. Step 3: Cross multiply
    25,634.60x = 38,444.70 × 8,109.80
  4. Step 4: Simplify right side
    25,634.60x = 311,778,828.06
  5. Step 5: Solve for x
    x = 311,778,828.06/25,634.60
  6. Step 6: Final answer
    x = 12,162.42

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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.