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Finding the Fourth Proportional to 23,627.04, 35,442.12 and 7,832

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Solution

The fourth proportional to 23,627.04, 35,442.12 and 7,832 is: 11,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,627.04 : 35,442.12 = 7,832 : x
  2. Step 2: Convert to fraction form
    23,627.04/35,442.12 = 7,832/x
  3. Step 3: Cross multiply
    23,627.04x = 35,442.12 × 7,832
  4. Step 4: Simplify right side
    23,627.04x = 277,582,683.84
  5. Step 5: Solve for x
    x = 277,582,683.84/23,627.04
  6. Step 6: Final answer
    x = 11,748.52

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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.