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Finding the Fourth Proportional to 12,016.53, 18,000.32 and 9,803.25

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Solution

The fourth proportional to 12,016.53, 18,000.32 and 9,803.25 is: 14,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.53 : 18,000.32 = 9,803.25 : x
  2. Step 2: Convert to fraction form
    12,016.53/18,000.32 = 9,803.25/x
  3. Step 3: Cross multiply
    12,016.53x = 18,000.32 × 9,803.25
  4. Step 4: Simplify right side
    12,016.53x = 176,461,588.02
  5. Step 5: Solve for x
    x = 176,461,588.02/12,016.53
  6. Step 6: Final answer
    x = 14,684.90

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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.