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Finding the Fourth Proportional to 13,767.68, 18,999.06 and 8,101.46

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Solution

The fourth proportional to 13,767.68, 18,999.06 and 8,101.46 is: 11,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.68 : 18,999.06 = 8,101.46 : x
  2. Step 2: Convert to fraction form
    13,767.68/18,999.06 = 8,101.46/x
  3. Step 3: Cross multiply
    13,767.68x = 18,999.06 × 8,101.46
  4. Step 4: Simplify right side
    13,767.68x = 153,920,124.63
  5. Step 5: Solve for x
    x = 153,920,124.63/13,767.68
  6. Step 6: Final answer
    x = 11,179.82

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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.