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Finding the Fourth Proportional to 17,622.46, 24,319.18 and 9,664.52

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Solution

The fourth proportional to 17,622.46, 24,319.18 and 9,664.52 is: 13,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.46 : 24,319.18 = 9,664.52 : x
  2. Step 2: Convert to fraction form
    17,622.46/24,319.18 = 9,664.52/x
  3. Step 3: Cross multiply
    17,622.46x = 24,319.18 × 9,664.52
  4. Step 4: Simplify right side
    17,622.46x = 235,033,201.49
  5. Step 5: Solve for x
    x = 235,033,201.49/17,622.46
  6. Step 6: Final answer
    x = 13,337.14

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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.