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Finding the Fourth Proportional to 20,207.71, 27,904.26 and 12,666.99

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Solution

The fourth proportional to 20,207.71, 27,904.26 and 12,666.99 is: 17,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.71 : 27,904.26 = 12,666.99 : x
  2. Step 2: Convert to fraction form
    20,207.71/27,904.26 = 12,666.99/x
  3. Step 3: Cross multiply
    20,207.71x = 27,904.26 × 12,666.99
  4. Step 4: Simplify right side
    20,207.71x = 353,462,982.38
  5. Step 5: Solve for x
    x = 353,462,982.38/20,207.71
  6. Step 6: Final answer
    x = 17,491.49

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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.