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Finding the Fourth Proportional to 14,209.01, 19,593.05 and 9,674.63

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Solution

The fourth proportional to 14,209.01, 19,593.05 and 9,674.63 is: 13,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.01 : 19,593.05 = 9,674.63 : x
  2. Step 2: Convert to fraction form
    14,209.01/19,593.05 = 9,674.63/x
  3. Step 3: Cross multiply
    14,209.01x = 19,593.05 × 9,674.63
  4. Step 4: Simplify right side
    14,209.01x = 189,555,362.98
  5. Step 5: Solve for x
    x = 189,555,362.98/14,209.01
  6. Step 6: Final answer
    x = 13,340.51

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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.