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Finding the Fourth Proportional to 14,919.51, 20,588.52 and 8,205.82

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Solution

The fourth proportional to 14,919.51, 20,588.52 and 8,205.82 is: 11,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.51 : 20,588.52 = 8,205.82 : x
  2. Step 2: Convert to fraction form
    14,919.51/20,588.52 = 8,205.82/x
  3. Step 3: Cross multiply
    14,919.51x = 20,588.52 × 8,205.82
  4. Step 4: Simplify right side
    14,919.51x = 168,945,689.19
  5. Step 5: Solve for x
    x = 168,945,689.19/14,919.51
  6. Step 6: Final answer
    x = 11,323.81

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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.