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Finding the Fourth Proportional to 13,384.10, 18,470.34 and 8,012.09

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Solution

The fourth proportional to 13,384.10, 18,470.34 and 8,012.09 is: 11,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.10 : 18,470.34 = 8,012.09 : x
  2. Step 2: Convert to fraction form
    13,384.10/18,470.34 = 8,012.09/x
  3. Step 3: Cross multiply
    13,384.10x = 18,470.34 × 8,012.09
  4. Step 4: Simplify right side
    13,384.10x = 147,985,934.06
  5. Step 5: Solve for x
    x = 147,985,934.06/13,384.10
  6. Step 6: Final answer
    x = 11,056.85

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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.