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Finding the Fourth Proportional to 13,013.82, 17,969.44 and 12,018.74

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Solution

The fourth proportional to 13,013.82, 17,969.44 and 12,018.74 is: 16,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.82 : 17,969.44 = 12,018.74 : x
  2. Step 2: Convert to fraction form
    13,013.82/17,969.44 = 12,018.74/x
  3. Step 3: Cross multiply
    13,013.82x = 17,969.44 × 12,018.74
  4. Step 4: Simplify right side
    13,013.82x = 215,970,027.31
  5. Step 5: Solve for x
    x = 215,970,027.31/13,013.82
  6. Step 6: Final answer
    x = 16,595.44

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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.