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Finding the Fourth Proportional to 21,779, 30,055.02 and 11,843

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Solution

The fourth proportional to 21,779, 30,055.02 and 11,843 is: 16,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,779 : 30,055.02 = 11,843 : x
  2. Step 2: Convert to fraction form
    21,779/30,055.02 = 11,843/x
  3. Step 3: Cross multiply
    21,779x = 30,055.02 × 11,843
  4. Step 4: Simplify right side
    21,779x = 355,941,601.86
  5. Step 5: Solve for x
    x = 355,941,601.86/21,779
  6. Step 6: Final answer
    x = 16,343.34

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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.