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Finding the Fourth Proportional to 16,536.69, 22,825.44 and 10,078.65

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Solution

The fourth proportional to 16,536.69, 22,825.44 and 10,078.65 is: 13,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.69 : 22,825.44 = 10,078.65 : x
  2. Step 2: Convert to fraction form
    16,536.69/22,825.44 = 10,078.65/x
  3. Step 3: Cross multiply
    16,536.69x = 22,825.44 × 10,078.65
  4. Step 4: Simplify right side
    16,536.69x = 230,049,620.86
  5. Step 5: Solve for x
    x = 230,049,620.86/16,536.69
  6. Step 6: Final answer
    x = 13,911.47

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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.