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Finding the Fourth Proportional to 14,507.52, 21,763.89 and 4,649.28

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Solution

The fourth proportional to 14,507.52, 21,763.89 and 4,649.28 is: 6,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.52 : 21,763.89 = 4,649.28 : x
  2. Step 2: Convert to fraction form
    14,507.52/21,763.89 = 4,649.28/x
  3. Step 3: Cross multiply
    14,507.52x = 21,763.89 × 4,649.28
  4. Step 4: Simplify right side
    14,507.52x = 101,186,418.50
  5. Step 5: Solve for x
    x = 101,186,418.50/14,507.52
  6. Step 6: Final answer
    x = 6,974.76

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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.