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Finding the Fourth Proportional to 14,314.71, 19,752.14 and 8,181.97

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Solution

The fourth proportional to 14,314.71, 19,752.14 and 8,181.97 is: 11,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.71 : 19,752.14 = 8,181.97 : x
  2. Step 2: Convert to fraction form
    14,314.71/19,752.14 = 8,181.97/x
  3. Step 3: Cross multiply
    14,314.71x = 19,752.14 × 8,181.97
  4. Step 4: Simplify right side
    14,314.71x = 161,611,304.93
  5. Step 5: Solve for x
    x = 161,611,304.93/14,314.71
  6. Step 6: Final answer
    x = 11,289.88

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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.