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Finding the Fourth Proportional to 14,098.68, 21,149.88 and 5,212.80

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Solution

The fourth proportional to 14,098.68, 21,149.88 and 5,212.80 is: 7,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.68 : 21,149.88 = 5,212.80 : x
  2. Step 2: Convert to fraction form
    14,098.68/21,149.88 = 5,212.80/x
  3. Step 3: Cross multiply
    14,098.68x = 21,149.88 × 5,212.80
  4. Step 4: Simplify right side
    14,098.68x = 110,250,094.46
  5. Step 5: Solve for x
    x = 110,250,094.46/14,098.68
  6. Step 6: Final answer
    x = 7,819.89

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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.