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Finding the Fourth Proportional to 23,840.72, 35,703.52 and 11,957.12

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Solution

The fourth proportional to 23,840.72, 35,703.52 and 11,957.12 is: 17,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.72 : 35,703.52 = 11,957.12 : x
  2. Step 2: Convert to fraction form
    23,840.72/35,703.52 = 11,957.12/x
  3. Step 3: Cross multiply
    23,840.72x = 35,703.52 × 11,957.12
  4. Step 4: Simplify right side
    23,840.72x = 426,911,273.06
  5. Step 5: Solve for x
    x = 426,911,273.06/23,840.72
  6. Step 6: Final answer
    x = 17,906.81

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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.