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Finding the Fourth Proportional to 14,695.98, 22,044 and 5,456.94

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Solution

The fourth proportional to 14,695.98, 22,044 and 5,456.94 is: 8,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,695.98 : 22,044 = 5,456.94 : x
  2. Step 2: Convert to fraction form
    14,695.98/22,044 = 5,456.94/x
  3. Step 3: Cross multiply
    14,695.98x = 22,044 × 5,456.94
  4. Step 4: Simplify right side
    14,695.98x = 120,292,785.36
  5. Step 5: Solve for x
    x = 120,292,785.36/14,695.98
  6. Step 6: Final answer
    x = 8,185.42

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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.