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Finding the Fourth Proportional to 14,148.96, 21,224.72 and 5,827.04

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Solution

The fourth proportional to 14,148.96, 21,224.72 and 5,827.04 is: 8,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.96 : 21,224.72 = 5,827.04 : x
  2. Step 2: Convert to fraction form
    14,148.96/21,224.72 = 5,827.04/x
  3. Step 3: Cross multiply
    14,148.96x = 21,224.72 × 5,827.04
  4. Step 4: Simplify right side
    14,148.96x = 123,677,292.43
  5. Step 5: Solve for x
    x = 123,677,292.43/14,148.96
  6. Step 6: Final answer
    x = 8,741.09

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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.