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Finding the Fourth Proportional to 12,098.84, 18,148.34 and 3,334.23

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Solution

The fourth proportional to 12,098.84, 18,148.34 and 3,334.23 is: 5,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.84 : 18,148.34 = 3,334.23 : x
  2. Step 2: Convert to fraction form
    12,098.84/18,148.34 = 3,334.23/x
  3. Step 3: Cross multiply
    12,098.84x = 18,148.34 × 3,334.23
  4. Step 4: Simplify right side
    12,098.84x = 60,510,748.01
  5. Step 5: Solve for x
    x = 60,510,748.01/12,098.84
  6. Step 6: Final answer
    x = 5,001.37

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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.