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Finding the Fourth Proportional to 14,556.80, 21,838.88 and 5,791.68

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Solution

The fourth proportional to 14,556.80, 21,838.88 and 5,791.68 is: 8,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.80 : 21,838.88 = 5,791.68 : x
  2. Step 2: Convert to fraction form
    14,556.80/21,838.88 = 5,791.68/x
  3. Step 3: Cross multiply
    14,556.80x = 21,838.88 × 5,791.68
  4. Step 4: Simplify right side
    14,556.80x = 126,483,804.52
  5. Step 5: Solve for x
    x = 126,483,804.52/14,556.80
  6. Step 6: Final answer
    x = 8,688.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.