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Finding the Fourth Proportional to 14,233.74, 21,353.61 and 5,349.14

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Solution

The fourth proportional to 14,233.74, 21,353.61 and 5,349.14 is: 8,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.74 : 21,353.61 = 5,349.14 : x
  2. Step 2: Convert to fraction form
    14,233.74/21,353.61 = 5,349.14/x
  3. Step 3: Cross multiply
    14,233.74x = 21,353.61 × 5,349.14
  4. Step 4: Simplify right side
    14,233.74x = 114,223,516.15
  5. Step 5: Solve for x
    x = 114,223,516.15/14,233.74
  6. Step 6: Final answer
    x = 8,024.84

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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.