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Finding the Fourth Proportional to 21,221.79, 29,277.90 and 16,180.80

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Solution

The fourth proportional to 21,221.79, 29,277.90 and 16,180.80 is: 22,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.79 : 29,277.90 = 16,180.80 : x
  2. Step 2: Convert to fraction form
    21,221.79/29,277.90 = 16,180.80/x
  3. Step 3: Cross multiply
    21,221.79x = 29,277.90 × 16,180.80
  4. Step 4: Simplify right side
    21,221.79x = 473,739,844.32
  5. Step 5: Solve for x
    x = 473,739,844.32/21,221.79
  6. Step 6: Final answer
    x = 22,323.27

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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.