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Finding the Fourth Proportional to 14,049.71, 19,388.03 and 7,676.52

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Solution

The fourth proportional to 14,049.71, 19,388.03 and 7,676.52 is: 10,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.71 : 19,388.03 = 7,676.52 : x
  2. Step 2: Convert to fraction form
    14,049.71/19,388.03 = 7,676.52/x
  3. Step 3: Cross multiply
    14,049.71x = 19,388.03 × 7,676.52
  4. Step 4: Simplify right side
    14,049.71x = 148,832,619.74
  5. Step 5: Solve for x
    x = 148,832,619.74/14,049.71
  6. Step 6: Final answer
    x = 10,593.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.