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Finding the Fourth Proportional to 13,782.15, 19,018.81 and 8,117.14

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Solution

The fourth proportional to 13,782.15, 19,018.81 and 8,117.14 is: 11,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.15 : 19,018.81 = 8,117.14 : x
  2. Step 2: Convert to fraction form
    13,782.15/19,018.81 = 8,117.14/x
  3. Step 3: Cross multiply
    13,782.15x = 19,018.81 × 8,117.14
  4. Step 4: Simplify right side
    13,782.15x = 154,378,306.00
  5. Step 5: Solve for x
    x = 154,378,306.00/13,782.15
  6. Step 6: Final answer
    x = 11,201.32

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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.