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Finding the Fourth Proportional to 14,155.84, 21,234.06 and 5,149.65

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Solution

The fourth proportional to 14,155.84, 21,234.06 and 5,149.65 is: 7,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,155.84 : 21,234.06 = 5,149.65 : x
  2. Step 2: Convert to fraction form
    14,155.84/21,234.06 = 5,149.65/x
  3. Step 3: Cross multiply
    14,155.84x = 21,234.06 × 5,149.65
  4. Step 4: Simplify right side
    14,155.84x = 109,347,977.08
  5. Step 5: Solve for x
    x = 109,347,977.08/14,155.84
  6. Step 6: Final answer
    x = 7,724.59

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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.