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Finding the Fourth Proportional to 23,842.72, 35,706.52 and 11,959.12

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Solution

The fourth proportional to 23,842.72, 35,706.52 and 11,959.12 is: 17,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.72 : 35,706.52 = 11,959.12 : x
  2. Step 2: Convert to fraction form
    23,842.72/35,706.52 = 11,959.12/x
  3. Step 3: Cross multiply
    23,842.72x = 35,706.52 × 11,959.12
  4. Step 4: Simplify right side
    23,842.72x = 427,018,557.46
  5. Step 5: Solve for x
    x = 427,018,557.46/23,842.72
  6. Step 6: Final answer
    x = 17,909.81

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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.