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Finding the Fourth Proportional to 14,067.04, 19,411.72 and 7,779

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Solution

The fourth proportional to 14,067.04, 19,411.72 and 7,779 is: 10,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.04 : 19,411.72 = 7,779 : x
  2. Step 2: Convert to fraction form
    14,067.04/19,411.72 = 7,779/x
  3. Step 3: Cross multiply
    14,067.04x = 19,411.72 × 7,779
  4. Step 4: Simplify right side
    14,067.04x = 151,003,769.88
  5. Step 5: Solve for x
    x = 151,003,769.88/14,067.04
  6. Step 6: Final answer
    x = 10,734.58

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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.