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Finding the Fourth Proportional to 19,775.82, 27,290.64 and 14,744.46

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Solution

The fourth proportional to 19,775.82, 27,290.64 and 14,744.46 is: 20,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.82 : 27,290.64 = 14,744.46 : x
  2. Step 2: Convert to fraction form
    19,775.82/27,290.64 = 14,744.46/x
  3. Step 3: Cross multiply
    19,775.82x = 27,290.64 × 14,744.46
  4. Step 4: Simplify right side
    19,775.82x = 402,385,749.85
  5. Step 5: Solve for x
    x = 402,385,749.85/19,775.82
  6. Step 6: Final answer
    x = 20,347.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.