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Finding the Fourth Proportional to 23,832.09, 35,749.08 and 7,192.13

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Solution

The fourth proportional to 23,832.09, 35,749.08 and 7,192.13 is: 10,788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.09 : 35,749.08 = 7,192.13 : x
  2. Step 2: Convert to fraction form
    23,832.09/35,749.08 = 7,192.13/x
  3. Step 3: Cross multiply
    23,832.09x = 35,749.08 × 7,192.13
  4. Step 4: Simplify right side
    23,832.09x = 257,111,852.00
  5. Step 5: Solve for x
    x = 257,111,852.00/23,832.09
  6. Step 6: Final answer
    x = 10,788.47

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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.