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Finding the Fourth Proportional to 14,824.16, 20,456.92 and 8,109.64

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Solution

The fourth proportional to 14,824.16, 20,456.92 and 8,109.64 is: 11,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.16 : 20,456.92 = 8,109.64 : x
  2. Step 2: Convert to fraction form
    14,824.16/20,456.92 = 8,109.64/x
  3. Step 3: Cross multiply
    14,824.16x = 20,456.92 × 8,109.64
  4. Step 4: Simplify right side
    14,824.16x = 165,898,256.71
  5. Step 5: Solve for x
    x = 165,898,256.71/14,824.16
  6. Step 6: Final answer
    x = 11,191.07

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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.