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Finding the Fourth Proportional to 17,730.58, 24,467.25 and 9,771.22

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Solution

The fourth proportional to 17,730.58, 24,467.25 and 9,771.22 is: 13,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.58 : 24,467.25 = 9,771.22 : x
  2. Step 2: Convert to fraction form
    17,730.58/24,467.25 = 9,771.22/x
  3. Step 3: Cross multiply
    17,730.58x = 24,467.25 × 9,771.22
  4. Step 4: Simplify right side
    17,730.58x = 239,074,882.55
  5. Step 5: Solve for x
    x = 239,074,882.55/17,730.58
  6. Step 6: Final answer
    x = 13,483.76

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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.