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Finding the Fourth Proportional to 27,420.82, 37,838.39 and 15,779.42

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Solution

The fourth proportional to 27,420.82, 37,838.39 and 15,779.42 is: 21,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.82 : 37,838.39 = 15,779.42 : x
  2. Step 2: Convert to fraction form
    27,420.82/37,838.39 = 15,779.42/x
  3. Step 3: Cross multiply
    27,420.82x = 37,838.39 × 15,779.42
  4. Step 4: Simplify right side
    27,420.82x = 597,067,637.51
  5. Step 5: Solve for x
    x = 597,067,637.51/27,420.82
  6. Step 6: Final answer
    x = 21,774.24

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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.