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Finding the Fourth Proportional to 17,622.15, 24,319.28 and 9,664.67

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Solution

The fourth proportional to 17,622.15, 24,319.28 and 9,664.67 is: 13,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.15 : 24,319.28 = 9,664.67 : x
  2. Step 2: Convert to fraction form
    17,622.15/24,319.28 = 9,664.67/x
  3. Step 3: Cross multiply
    17,622.15x = 24,319.28 × 9,664.67
  4. Step 4: Simplify right side
    17,622.15x = 235,037,645.92
  5. Step 5: Solve for x
    x = 235,037,645.92/17,622.15
  6. Step 6: Final answer
    x = 13,337.63

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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.