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Finding the Fourth Proportional to 13,414.19, 18,510.12 and 8,698.49

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Solution

The fourth proportional to 13,414.19, 18,510.12 and 8,698.49 is: 12,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.19 : 18,510.12 = 8,698.49 : x
  2. Step 2: Convert to fraction form
    13,414.19/18,510.12 = 8,698.49/x
  3. Step 3: Cross multiply
    13,414.19x = 18,510.12 × 8,698.49
  4. Step 4: Simplify right side
    13,414.19x = 161,010,093.72
  5. Step 5: Solve for x
    x = 161,010,093.72/13,414.19
  6. Step 6: Final answer
    x = 12,002.97

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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.