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Finding the Fourth Proportional to 23,580.30, 35,368.02 and 7,997.52

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Solution

The fourth proportional to 23,580.30, 35,368.02 and 7,997.52 is: 11,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.30 : 35,368.02 = 7,997.52 : x
  2. Step 2: Convert to fraction form
    23,580.30/35,368.02 = 7,997.52/x
  3. Step 3: Cross multiply
    23,580.30x = 35,368.02 × 7,997.52
  4. Step 4: Simplify right side
    23,580.30x = 282,856,447.31
  5. Step 5: Solve for x
    x = 282,856,447.31/23,580.30
  6. Step 6: Final answer
    x = 11,995.46

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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.