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Finding the Fourth Proportional to 14,083.65, 21,122.10 and 8,147.70

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Solution

The fourth proportional to 14,083.65, 21,122.10 and 8,147.70 is: 12,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.65 : 21,122.10 = 8,147.70 : x
  2. Step 2: Convert to fraction form
    14,083.65/21,122.10 = 8,147.70/x
  3. Step 3: Cross multiply
    14,083.65x = 21,122.10 × 8,147.70
  4. Step 4: Simplify right side
    14,083.65x = 172,096,534.17
  5. Step 5: Solve for x
    x = 172,096,534.17/14,083.65
  6. Step 6: Final answer
    x = 12,219.60

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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.