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Finding the Fourth Proportional to 13,174.83, 18,178.32 and 7,868.63

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Solution

The fourth proportional to 13,174.83, 18,178.32 and 7,868.63 is: 10,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.83 : 18,178.32 = 7,868.63 : x
  2. Step 2: Convert to fraction form
    13,174.83/18,178.32 = 7,868.63/x
  3. Step 3: Cross multiply
    13,174.83x = 18,178.32 × 7,868.63
  4. Step 4: Simplify right side
    13,174.83x = 143,038,383.21
  5. Step 5: Solve for x
    x = 143,038,383.21/13,174.83
  6. Step 6: Final answer
    x = 10,856.94

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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.