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Finding the Fourth Proportional to 14,102.52, 21,136.80 and 5,210.76

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Solution

The fourth proportional to 14,102.52, 21,136.80 and 5,210.76 is: 7,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.52 : 21,136.80 = 5,210.76 : x
  2. Step 2: Convert to fraction form
    14,102.52/21,136.80 = 5,210.76/x
  3. Step 3: Cross multiply
    14,102.52x = 21,136.80 × 5,210.76
  4. Step 4: Simplify right side
    14,102.52x = 110,138,791.97
  5. Step 5: Solve for x
    x = 110,138,791.97/14,102.52
  6. Step 6: Final answer
    x = 7,809.87

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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.