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Finding the Fourth Proportional to 14,393.00, 19,863.77 and 8,424.32

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Solution

The fourth proportional to 14,393.00, 19,863.77 and 8,424.32 is: 11,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.00 : 19,863.77 = 8,424.32 : x
  2. Step 2: Convert to fraction form
    14,393.00/19,863.77 = 8,424.32/x
  3. Step 3: Cross multiply
    14,393.00x = 19,863.77 × 8,424.32
  4. Step 4: Simplify right side
    14,393.00x = 167,338,613.45
  5. Step 5: Solve for x
    x = 167,338,613.45/14,393.00
  6. Step 6: Final answer
    x = 11,626.39

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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.