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Finding the Fourth Proportional to 26,354.57, 39,537.14 and 9,714.68

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Solution

The fourth proportional to 26,354.57, 39,537.14 and 9,714.68 is: 14,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,354.57 : 39,537.14 = 9,714.68 : x
  2. Step 2: Convert to fraction form
    26,354.57/39,537.14 = 9,714.68/x
  3. Step 3: Cross multiply
    26,354.57x = 39,537.14 × 9,714.68
  4. Step 4: Simplify right side
    26,354.57x = 384,090,663.22
  5. Step 5: Solve for x
    x = 384,090,663.22/26,354.57
  6. Step 6: Final answer
    x = 14,573.97

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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.