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Finding the Fourth Proportional to 25,885.60, 38,828.40 and 8,356.80

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Solution

The fourth proportional to 25,885.60, 38,828.40 and 8,356.80 is: 12,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885.60 : 38,828.40 = 8,356.80 : x
  2. Step 2: Convert to fraction form
    25,885.60/38,828.40 = 8,356.80/x
  3. Step 3: Cross multiply
    25,885.60x = 38,828.40 × 8,356.80
  4. Step 4: Simplify right side
    25,885.60x = 324,481,173.12
  5. Step 5: Solve for x
    x = 324,481,173.12/25,885.60
  6. Step 6: Final answer
    x = 12,535.20

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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.