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Finding the Fourth Proportional to 12,049.34, 18,071.10 and 4,649.08

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Solution

The fourth proportional to 12,049.34, 18,071.10 and 4,649.08 is: 6,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.34 : 18,071.10 = 4,649.08 : x
  2. Step 2: Convert to fraction form
    12,049.34/18,071.10 = 4,649.08/x
  3. Step 3: Cross multiply
    12,049.34x = 18,071.10 × 4,649.08
  4. Step 4: Simplify right side
    12,049.34x = 84,013,926.98
  5. Step 5: Solve for x
    x = 84,013,926.98/12,049.34
  6. Step 6: Final answer
    x = 6,972.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.