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Finding the Fourth Proportional to 19,776.38, 27,284.96 and 13,811.33

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Solution

The fourth proportional to 19,776.38, 27,284.96 and 13,811.33 is: 19,055.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.38 : 27,284.96 = 13,811.33 : x
  2. Step 2: Convert to fraction form
    19,776.38/27,284.96 = 13,811.33/x
  3. Step 3: Cross multiply
    19,776.38x = 27,284.96 × 13,811.33
  4. Step 4: Simplify right side
    19,776.38x = 376,841,689.34
  5. Step 5: Solve for x
    x = 376,841,689.34/19,776.38
  6. Step 6: Final answer
    x = 19,055.14

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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.