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Finding the Fourth Proportional to 12,349.84, 18,523.90 and 4,029.67

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Solution

The fourth proportional to 12,349.84, 18,523.90 and 4,029.67 is: 6,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.84 : 18,523.90 = 4,029.67 : x
  2. Step 2: Convert to fraction form
    12,349.84/18,523.90 = 4,029.67/x
  3. Step 3: Cross multiply
    12,349.84x = 18,523.90 × 4,029.67
  4. Step 4: Simplify right side
    12,349.84x = 74,645,204.11
  5. Step 5: Solve for x
    x = 74,645,204.11/12,349.84
  6. Step 6: Final answer
    x = 6,044.22

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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.