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Finding the Fourth Proportional to 16,089.44, 22,203.52 and 9,714.74

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Solution

The fourth proportional to 16,089.44, 22,203.52 and 9,714.74 is: 13,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.44 : 22,203.52 = 9,714.74 : x
  2. Step 2: Convert to fraction form
    16,089.44/22,203.52 = 9,714.74/x
  3. Step 3: Cross multiply
    16,089.44x = 22,203.52 × 9,714.74
  4. Step 4: Simplify right side
    16,089.44x = 215,701,288.58
  5. Step 5: Solve for x
    x = 215,701,288.58/16,089.44
  6. Step 6: Final answer
    x = 13,406.39

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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.