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Finding the Fourth Proportional to 14,601.08, 20,149.42 and 7,977.08

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Solution

The fourth proportional to 14,601.08, 20,149.42 and 7,977.08 is: 11,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.08 : 20,149.42 = 7,977.08 : x
  2. Step 2: Convert to fraction form
    14,601.08/20,149.42 = 7,977.08/x
  3. Step 3: Cross multiply
    14,601.08x = 20,149.42 × 7,977.08
  4. Step 4: Simplify right side
    14,601.08x = 160,733,535.29
  5. Step 5: Solve for x
    x = 160,733,535.29/14,601.08
  6. Step 6: Final answer
    x = 11,008.33

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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.