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Finding the Fourth Proportional to 14,322.71, 19,764.92 and 8,353.97

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Solution

The fourth proportional to 14,322.71, 19,764.92 and 8,353.97 is: 11,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.71 : 19,764.92 = 8,353.97 : x
  2. Step 2: Convert to fraction form
    14,322.71/19,764.92 = 8,353.97/x
  3. Step 3: Cross multiply
    14,322.71x = 19,764.92 × 8,353.97
  4. Step 4: Simplify right side
    14,322.71x = 165,115,548.73
  5. Step 5: Solve for x
    x = 165,115,548.73/14,322.71
  6. Step 6: Final answer
    x = 11,528.23

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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.