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Finding the Fourth Proportional to 17,752.22, 24,498.20 and 9,794.74

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Solution

The fourth proportional to 17,752.22, 24,498.20 and 9,794.74 is: 13,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.22 : 24,498.20 = 9,794.74 : x
  2. Step 2: Convert to fraction form
    17,752.22/24,498.20 = 9,794.74/x
  3. Step 3: Cross multiply
    17,752.22x = 24,498.20 × 9,794.74
  4. Step 4: Simplify right side
    17,752.22x = 239,953,438.22
  5. Step 5: Solve for x
    x = 239,953,438.22/17,752.22
  6. Step 6: Final answer
    x = 13,516.81

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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.