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Finding the Fourth Proportional to 13,065.93, 18,024.07 and 8,277.43

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Solution

The fourth proportional to 13,065.93, 18,024.07 and 8,277.43 is: 11,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.93 : 18,024.07 = 8,277.43 : x
  2. Step 2: Convert to fraction form
    13,065.93/18,024.07 = 8,277.43/x
  3. Step 3: Cross multiply
    13,065.93x = 18,024.07 × 8,277.43
  4. Step 4: Simplify right side
    13,065.93x = 149,192,977.74
  5. Step 5: Solve for x
    x = 149,192,977.74/13,065.93
  6. Step 6: Final answer
    x = 11,418.47

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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.