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Finding the Fourth Proportional to 14,469.71, 19,968.96 and 8,095.91

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Solution

The fourth proportional to 14,469.71, 19,968.96 and 8,095.91 is: 11,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.71 : 19,968.96 = 8,095.91 : x
  2. Step 2: Convert to fraction form
    14,469.71/19,968.96 = 8,095.91/x
  3. Step 3: Cross multiply
    14,469.71x = 19,968.96 × 8,095.91
  4. Step 4: Simplify right side
    14,469.71x = 161,666,900.25
  5. Step 5: Solve for x
    x = 161,666,900.25/14,469.71
  6. Step 6: Final answer
    x = 11,172.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.