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Finding the Fourth Proportional to 13,782.18, 19,018.49 and 8,117.85

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Solution

The fourth proportional to 13,782.18, 19,018.49 and 8,117.85 is: 11,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.18 : 19,018.49 = 8,117.85 : x
  2. Step 2: Convert to fraction form
    13,782.18/19,018.49 = 8,117.85/x
  3. Step 3: Cross multiply
    13,782.18x = 19,018.49 × 8,117.85
  4. Step 4: Simplify right side
    13,782.18x = 154,389,208.46
  5. Step 5: Solve for x
    x = 154,389,208.46/13,782.18
  6. Step 6: Final answer
    x = 11,202.09

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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.