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Finding the Fourth Proportional to 13,929.82, 20,891.46 and 8,309.06

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Solution

The fourth proportional to 13,929.82, 20,891.46 and 8,309.06 is: 12,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.82 : 20,891.46 = 8,309.06 : x
  2. Step 2: Convert to fraction form
    13,929.82/20,891.46 = 8,309.06/x
  3. Step 3: Cross multiply
    13,929.82x = 20,891.46 × 8,309.06
  4. Step 4: Simplify right side
    13,929.82x = 173,588,394.63
  5. Step 5: Solve for x
    x = 173,588,394.63/13,929.82
  6. Step 6: Final answer
    x = 12,461.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.