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Finding the Fourth Proportional to 12,533.34, 17,297.61 and 8,230.14

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Solution

The fourth proportional to 12,533.34, 17,297.61 and 8,230.14 is: 11,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.34 : 17,297.61 = 8,230.14 : x
  2. Step 2: Convert to fraction form
    12,533.34/17,297.61 = 8,230.14/x
  3. Step 3: Cross multiply
    12,533.34x = 17,297.61 × 8,230.14
  4. Step 4: Simplify right side
    12,533.34x = 142,361,751.97
  5. Step 5: Solve for x
    x = 142,361,751.97/12,533.34
  6. Step 6: Final answer
    x = 11,358.64

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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.