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Finding the Fourth Proportional to 14,642.91, 21,964.18 and 3,549.70

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Solution

The fourth proportional to 14,642.91, 21,964.18 and 3,549.70 is: 5,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.91 : 21,964.18 = 3,549.70 : x
  2. Step 2: Convert to fraction form
    14,642.91/21,964.18 = 3,549.70/x
  3. Step 3: Cross multiply
    14,642.91x = 21,964.18 × 3,549.70
  4. Step 4: Simplify right side
    14,642.91x = 77,966,249.75
  5. Step 5: Solve for x
    x = 77,966,249.75/14,642.91
  6. Step 6: Final answer
    x = 5,324.51

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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.