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Finding the Fourth Proportional to 18,459.84, 27,686.76 and 5,309.22

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Solution

The fourth proportional to 18,459.84, 27,686.76 and 5,309.22 is: 7,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,459.84 : 27,686.76 = 5,309.22 : x
  2. Step 2: Convert to fraction form
    18,459.84/27,686.76 = 5,309.22/x
  3. Step 3: Cross multiply
    18,459.84x = 27,686.76 × 5,309.22
  4. Step 4: Simplify right side
    18,459.84x = 146,995,099.93
  5. Step 5: Solve for x
    x = 146,995,099.93/18,459.84
  6. Step 6: Final answer
    x = 7,962.97

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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.