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Finding the Fourth Proportional to 14,217.65, 21,326.47 and 4,857.74

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Solution

The fourth proportional to 14,217.65, 21,326.47 and 4,857.74 is: 7,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217.65 : 21,326.47 = 4,857.74 : x
  2. Step 2: Convert to fraction form
    14,217.65/21,326.47 = 4,857.74/x
  3. Step 3: Cross multiply
    14,217.65x = 21,326.47 × 4,857.74
  4. Step 4: Simplify right side
    14,217.65x = 103,598,454.27
  5. Step 5: Solve for x
    x = 103,598,454.27/14,217.65
  6. Step 6: Final answer
    x = 7,286.61

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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.