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Finding the Fourth Proportional to 14,524.71, 20,036.71 and 9,491.88

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Solution

The fourth proportional to 14,524.71, 20,036.71 and 9,491.88 is: 13,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.71 : 20,036.71 = 9,491.88 : x
  2. Step 2: Convert to fraction form
    14,524.71/20,036.71 = 9,491.88/x
  3. Step 3: Cross multiply
    14,524.71x = 20,036.71 × 9,491.88
  4. Step 4: Simplify right side
    14,524.71x = 190,186,046.91
  5. Step 5: Solve for x
    x = 190,186,046.91/14,524.71
  6. Step 6: Final answer
    x = 13,093.97

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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.