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Finding the Fourth Proportional to 25,768.80, 38,624.40 and 14,680.80

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Solution

The fourth proportional to 25,768.80, 38,624.40 and 14,680.80 is: 22,004.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,768.80 : 38,624.40 = 14,680.80 : x
  2. Step 2: Convert to fraction form
    25,768.80/38,624.40 = 14,680.80/x
  3. Step 3: Cross multiply
    25,768.80x = 38,624.40 × 14,680.80
  4. Step 4: Simplify right side
    25,768.80x = 567,037,091.52
  5. Step 5: Solve for x
    x = 567,037,091.52/25,768.80
  6. Step 6: Final answer
    x = 22,004.79

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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.