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Finding the Fourth Proportional to 14,474.43, 19,978.64 and 8,508.01

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Solution

The fourth proportional to 14,474.43, 19,978.64 and 8,508.01 is: 11,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.43 : 19,978.64 = 8,508.01 : x
  2. Step 2: Convert to fraction form
    14,474.43/19,978.64 = 8,508.01/x
  3. Step 3: Cross multiply
    14,474.43x = 19,978.64 × 8,508.01
  4. Step 4: Simplify right side
    14,474.43x = 169,978,468.91
  5. Step 5: Solve for x
    x = 169,978,468.91/14,474.43
  6. Step 6: Final answer
    x = 11,743.36

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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.