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Finding the Fourth Proportional to 19,716.40, 27,209.06 and 10,764.28

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Solution

The fourth proportional to 19,716.40, 27,209.06 and 10,764.28 is: 14,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.40 : 27,209.06 = 10,764.28 : x
  2. Step 2: Convert to fraction form
    19,716.40/27,209.06 = 10,764.28/x
  3. Step 3: Cross multiply
    19,716.40x = 27,209.06 × 10,764.28
  4. Step 4: Simplify right side
    19,716.40x = 292,885,940.38
  5. Step 5: Solve for x
    x = 292,885,940.38/19,716.40
  6. Step 6: Final answer
    x = 14,854.94

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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.