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Finding the Fourth Proportional to 12,016.28, 17,999.94 and 9,803

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Solution

The fourth proportional to 12,016.28, 17,999.94 and 9,803 is: 14,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.28 : 17,999.94 = 9,803 : x
  2. Step 2: Convert to fraction form
    12,016.28/17,999.94 = 9,803/x
  3. Step 3: Cross multiply
    12,016.28x = 17,999.94 × 9,803
  4. Step 4: Simplify right side
    12,016.28x = 176,453,411.82
  5. Step 5: Solve for x
    x = 176,453,411.82/12,016.28
  6. Step 6: Final answer
    x = 14,684.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.