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Finding the Fourth Proportional to 14,827.80, 22,249.24 and 6,505.65

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Solution

The fourth proportional to 14,827.80, 22,249.24 and 6,505.65 is: 9,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.80 : 22,249.24 = 6,505.65 : x
  2. Step 2: Convert to fraction form
    14,827.80/22,249.24 = 6,505.65/x
  3. Step 3: Cross multiply
    14,827.80x = 22,249.24 × 6,505.65
  4. Step 4: Simplify right side
    14,827.80x = 144,745,768.21
  5. Step 5: Solve for x
    x = 144,745,768.21/14,827.80
  6. Step 6: Final answer
    x = 9,761.78

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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.