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Finding the Fourth Proportional to 12,969.68, 17,904.12 and 8,493.62

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Solution

The fourth proportional to 12,969.68, 17,904.12 and 8,493.62 is: 11,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.68 : 17,904.12 = 8,493.62 : x
  2. Step 2: Convert to fraction form
    12,969.68/17,904.12 = 8,493.62/x
  3. Step 3: Cross multiply
    12,969.68x = 17,904.12 × 8,493.62
  4. Step 4: Simplify right side
    12,969.68x = 152,070,791.71
  5. Step 5: Solve for x
    x = 152,070,791.71/12,969.68
  6. Step 6: Final answer
    x = 11,725.10

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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.