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Finding the Fourth Proportional to 12,533.64, 17,302.80 and 9,694.62

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Solution

The fourth proportional to 12,533.64, 17,302.80 and 9,694.62 is: 13,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.64 : 17,302.80 = 9,694.62 : x
  2. Step 2: Convert to fraction form
    12,533.64/17,302.80 = 9,694.62/x
  3. Step 3: Cross multiply
    12,533.64x = 17,302.80 × 9,694.62
  4. Step 4: Simplify right side
    12,533.64x = 167,744,070.94
  5. Step 5: Solve for x
    x = 167,744,070.94/12,533.64
  6. Step 6: Final answer
    x = 13,383.51

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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.