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Finding the Fourth Proportional to 13,078.80, 18,018.24 and 9,093

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Solution

The fourth proportional to 13,078.80, 18,018.24 and 9,093 is: 12,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.80 : 18,018.24 = 9,093 : x
  2. Step 2: Convert to fraction form
    13,078.80/18,018.24 = 9,093/x
  3. Step 3: Cross multiply
    13,078.80x = 18,018.24 × 9,093
  4. Step 4: Simplify right side
    13,078.80x = 163,839,856.32
  5. Step 5: Solve for x
    x = 163,839,856.32/13,078.80
  6. Step 6: Final answer
    x = 12,527.13

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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.