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Finding the Fourth Proportional to 24,739.71, 34,137.09 and 14,127.09

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Solution

The fourth proportional to 24,739.71, 34,137.09 and 14,127.09 is: 19,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,739.71 : 34,137.09 = 14,127.09 : x
  2. Step 2: Convert to fraction form
    24,739.71/34,137.09 = 14,127.09/x
  3. Step 3: Cross multiply
    24,739.71x = 34,137.09 × 14,127.09
  4. Step 4: Simplify right side
    24,739.71x = 482,257,742.77
  5. Step 5: Solve for x
    x = 482,257,742.77/24,739.71
  6. Step 6: Final answer
    x = 19,493.27

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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.