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Finding the Fourth Proportional to 27,779.49, 38,337.84 and 17,024.31

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Solution

The fourth proportional to 27,779.49, 38,337.84 and 17,024.31 is: 23,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,779.49 : 38,337.84 = 17,024.31 : x
  2. Step 2: Convert to fraction form
    27,779.49/38,337.84 = 17,024.31/x
  3. Step 3: Cross multiply
    27,779.49x = 38,337.84 × 17,024.31
  4. Step 4: Simplify right side
    27,779.49x = 652,675,272.89
  5. Step 5: Solve for x
    x = 652,675,272.89/27,779.49
  6. Step 6: Final answer
    x = 23,494.86

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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.