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Finding the Fourth Proportional to 19,777.34, 27,295.77 and 11,279.46

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Solution

The fourth proportional to 19,777.34, 27,295.77 and 11,279.46 is: 15,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.34 : 27,295.77 = 11,279.46 : x
  2. Step 2: Convert to fraction form
    19,777.34/27,295.77 = 11,279.46/x
  3. Step 3: Cross multiply
    19,777.34x = 27,295.77 × 11,279.46
  4. Step 4: Simplify right side
    19,777.34x = 307,881,545.88
  5. Step 5: Solve for x
    x = 307,881,545.88/19,777.34
  6. Step 6: Final answer
    x = 15,567.39

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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.