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Finding the Fourth Proportional to 14,301.30, 21,454.66 and 5,419.30

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Solution

The fourth proportional to 14,301.30, 21,454.66 and 5,419.30 is: 8,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.30 : 21,454.66 = 5,419.30 : x
  2. Step 2: Convert to fraction form
    14,301.30/21,454.66 = 5,419.30/x
  3. Step 3: Cross multiply
    14,301.30x = 21,454.66 × 5,419.30
  4. Step 4: Simplify right side
    14,301.30x = 116,269,238.94
  5. Step 5: Solve for x
    x = 116,269,238.94/14,301.30
  6. Step 6: Final answer
    x = 8,129.98

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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.