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Finding the Fourth Proportional to 11,838.30, 17,740.53 and 8,693.64

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Solution

The fourth proportional to 11,838.30, 17,740.53 and 8,693.64 is: 13,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.30 : 17,740.53 = 8,693.64 : x
  2. Step 2: Convert to fraction form
    11,838.30/17,740.53 = 8,693.64/x
  3. Step 3: Cross multiply
    11,838.30x = 17,740.53 × 8,693.64
  4. Step 4: Simplify right side
    11,838.30x = 154,229,781.23
  5. Step 5: Solve for x
    x = 154,229,781.23/11,838.30
  6. Step 6: Final answer
    x = 13,028.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.