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Finding the Fourth Proportional to 14,148.54, 21,214.68 and 5,834.28

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Solution

The fourth proportional to 14,148.54, 21,214.68 and 5,834.28 is: 8,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.54 : 21,214.68 = 5,834.28 : x
  2. Step 2: Convert to fraction form
    14,148.54/21,214.68 = 5,834.28/x
  3. Step 3: Cross multiply
    14,148.54x = 21,214.68 × 5,834.28
  4. Step 4: Simplify right side
    14,148.54x = 123,772,383.23
  5. Step 5: Solve for x
    x = 123,772,383.23/14,148.54
  6. Step 6: Final answer
    x = 8,748.07

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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.