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Finding the Fourth Proportional to 17,622.30, 24,319.86 and 9,665.67

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Solution

The fourth proportional to 17,622.30, 24,319.86 and 9,665.67 is: 13,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.30 : 24,319.86 = 9,665.67 : x
  2. Step 2: Convert to fraction form
    17,622.30/24,319.86 = 9,665.67/x
  3. Step 3: Cross multiply
    17,622.30x = 24,319.86 × 9,665.67
  4. Step 4: Simplify right side
    17,622.30x = 235,067,741.21
  5. Step 5: Solve for x
    x = 235,067,741.21/17,622.30
  6. Step 6: Final answer
    x = 13,339.22

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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.