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Finding the Fourth Proportional to 23,552.25, 35,333.58 and 7,762.14

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Solution

The fourth proportional to 23,552.25, 35,333.58 and 7,762.14 is: 11,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,552.25 : 35,333.58 = 7,762.14 : x
  2. Step 2: Convert to fraction form
    23,552.25/35,333.58 = 7,762.14/x
  3. Step 3: Cross multiply
    23,552.25x = 35,333.58 × 7,762.14
  4. Step 4: Simplify right side
    23,552.25x = 274,264,194.66
  5. Step 5: Solve for x
    x = 274,264,194.66/23,552.25
  6. Step 6: Final answer
    x = 11,644.93

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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.