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Finding the Fourth Proportional to 26,354.31, 39,536.76 and 9,714.43

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Solution

The fourth proportional to 26,354.31, 39,536.76 and 9,714.43 is: 14,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,354.31 : 39,536.76 = 9,714.43 : x
  2. Step 2: Convert to fraction form
    26,354.31/39,536.76 = 9,714.43/x
  3. Step 3: Cross multiply
    26,354.31x = 39,536.76 × 9,714.43
  4. Step 4: Simplify right side
    26,354.31x = 384,077,118.65
  5. Step 5: Solve for x
    x = 384,077,118.65/26,354.31
  6. Step 6: Final answer
    x = 14,573.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.