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Finding the Fourth Proportional to 23,906.49, 32,992.02 and 13,835.40

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Solution

The fourth proportional to 23,906.49, 32,992.02 and 13,835.40 is: 19,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.49 : 32,992.02 = 13,835.40 : x
  2. Step 2: Convert to fraction form
    23,906.49/32,992.02 = 13,835.40/x
  3. Step 3: Cross multiply
    23,906.49x = 32,992.02 × 13,835.40
  4. Step 4: Simplify right side
    23,906.49x = 456,457,793.51
  5. Step 5: Solve for x
    x = 456,457,793.51/23,906.49
  6. Step 6: Final answer
    x = 19,093.47

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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.