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Finding the Fourth Proportional to 23,447.34, 35,180.73 and 7,866.18

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Solution

The fourth proportional to 23,447.34, 35,180.73 and 7,866.18 is: 11,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.34 : 35,180.73 = 7,866.18 : x
  2. Step 2: Convert to fraction form
    23,447.34/35,180.73 = 7,866.18/x
  3. Step 3: Cross multiply
    23,447.34x = 35,180.73 × 7,866.18
  4. Step 4: Simplify right side
    23,447.34x = 276,737,954.71
  5. Step 5: Solve for x
    x = 276,737,954.71/23,447.34
  6. Step 6: Final answer
    x = 11,802.53

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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.