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Finding the Fourth Proportional to 16,514.52, 22,789.62 and 9,147.22

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Solution

The fourth proportional to 16,514.52, 22,789.62 and 9,147.22 is: 12,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.52 : 22,789.62 = 9,147.22 : x
  2. Step 2: Convert to fraction form
    16,514.52/22,789.62 = 9,147.22/x
  3. Step 3: Cross multiply
    16,514.52x = 22,789.62 × 9,147.22
  4. Step 4: Simplify right side
    16,514.52x = 208,461,667.86
  5. Step 5: Solve for x
    x = 208,461,667.86/16,514.52
  6. Step 6: Final answer
    x = 12,622.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.