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Finding the Fourth Proportional to 21,179.40, 31,762.41 and 7,668.82

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Solution

The fourth proportional to 21,179.40, 31,762.41 and 7,668.82 is: 11,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179.40 : 31,762.41 = 7,668.82 : x
  2. Step 2: Convert to fraction form
    21,179.40/31,762.41 = 7,668.82/x
  3. Step 3: Cross multiply
    21,179.40x = 31,762.41 × 7,668.82
  4. Step 4: Simplify right side
    21,179.40x = 243,580,205.06
  5. Step 5: Solve for x
    x = 243,580,205.06/21,179.40
  6. Step 6: Final answer
    x = 11,500.81

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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.