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Finding the Fourth Proportional to 14,376.80, 19,839.74 and 8,089.14

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Solution

The fourth proportional to 14,376.80, 19,839.74 and 8,089.14 is: 11,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.80 : 19,839.74 = 8,089.14 : x
  2. Step 2: Convert to fraction form
    14,376.80/19,839.74 = 8,089.14/x
  3. Step 3: Cross multiply
    14,376.80x = 19,839.74 × 8,089.14
  4. Step 4: Simplify right side
    14,376.80x = 160,486,434.42
  5. Step 5: Solve for x
    x = 160,486,434.42/14,376.80
  6. Step 6: Final answer
    x = 11,162.88

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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.