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Finding the Fourth Proportional to 14,461.14, 21,691.38 and 6,669.99

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Solution

The fourth proportional to 14,461.14, 21,691.38 and 6,669.99 is: 10,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.14 : 21,691.38 = 6,669.99 : x
  2. Step 2: Convert to fraction form
    14,461.14/21,691.38 = 6,669.99/x
  3. Step 3: Cross multiply
    14,461.14x = 21,691.38 × 6,669.99
  4. Step 4: Simplify right side
    14,461.14x = 144,681,287.69
  5. Step 5: Solve for x
    x = 144,681,287.69/14,461.14
  6. Step 6: Final answer
    x = 10,004.83

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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.