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Finding the Fourth Proportional to 14,183.84, 21,275.22 and 5,750.06

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Solution

The fourth proportional to 14,183.84, 21,275.22 and 5,750.06 is: 8,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.84 : 21,275.22 = 5,750.06 : x
  2. Step 2: Convert to fraction form
    14,183.84/21,275.22 = 5,750.06/x
  3. Step 3: Cross multiply
    14,183.84x = 21,275.22 × 5,750.06
  4. Step 4: Simplify right side
    14,183.84x = 122,333,791.51
  5. Step 5: Solve for x
    x = 122,333,791.51/14,183.84
  6. Step 6: Final answer
    x = 8,624.87

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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.