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Finding the Fourth Proportional to 14,506.91, 19,889.17 and 14,244.47

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Solution

The fourth proportional to 14,506.91, 19,889.17 and 14,244.47 is: 19,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.91 : 19,889.17 = 14,244.47 : x
  2. Step 2: Convert to fraction form
    14,506.91/19,889.17 = 14,244.47/x
  3. Step 3: Cross multiply
    14,506.91x = 19,889.17 × 14,244.47
  4. Step 4: Simplify right side
    14,506.91x = 283,310,716.76
  5. Step 5: Solve for x
    x = 283,310,716.76/14,506.91
  6. Step 6: Final answer
    x = 19,529.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.