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Finding the Fourth Proportional to 12,893.34, 17,794.17 and 7,588.05

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Solution

The fourth proportional to 12,893.34, 17,794.17 and 7,588.05 is: 10,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.34 : 17,794.17 = 7,588.05 : x
  2. Step 2: Convert to fraction form
    12,893.34/17,794.17 = 7,588.05/x
  3. Step 3: Cross multiply
    12,893.34x = 17,794.17 × 7,588.05
  4. Step 4: Simplify right side
    12,893.34x = 135,023,051.67
  5. Step 5: Solve for x
    x = 135,023,051.67/12,893.34
  6. Step 6: Final answer
    x = 10,472.31

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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.