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Finding the Fourth Proportional to 16,590.25, 22,894.55 and 9,138.25

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Solution

The fourth proportional to 16,590.25, 22,894.55 and 9,138.25 is: 12,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.25 : 22,894.55 = 9,138.25 : x
  2. Step 2: Convert to fraction form
    16,590.25/22,894.55 = 9,138.25/x
  3. Step 3: Cross multiply
    16,590.25x = 22,894.55 × 9,138.25
  4. Step 4: Simplify right side
    16,590.25x = 209,216,121.54
  5. Step 5: Solve for x
    x = 209,216,121.54/16,590.25
  6. Step 6: Final answer
    x = 12,610.79

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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.