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Finding the Fourth Proportional to 21,459.44, 32,189.18 and 12,206

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Solution

The fourth proportional to 21,459.44, 32,189.18 and 12,206 is: 18,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459.44 : 32,189.18 = 12,206 : x
  2. Step 2: Convert to fraction form
    21,459.44/32,189.18 = 12,206/x
  3. Step 3: Cross multiply
    21,459.44x = 32,189.18 × 12,206
  4. Step 4: Simplify right side
    21,459.44x = 392,901,131.08
  5. Step 5: Solve for x
    x = 392,901,131.08/21,459.44
  6. Step 6: Final answer
    x = 18,309.01

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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.