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Finding the Fourth Proportional to 23,720.94, 35,577.36 and 7,924.86

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Solution

The fourth proportional to 23,720.94, 35,577.36 and 7,924.86 is: 11,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,720.94 : 35,577.36 = 7,924.86 : x
  2. Step 2: Convert to fraction form
    23,720.94/35,577.36 = 7,924.86/x
  3. Step 3: Cross multiply
    23,720.94x = 35,577.36 × 7,924.86
  4. Step 4: Simplify right side
    23,720.94x = 281,945,597.17
  5. Step 5: Solve for x
    x = 281,945,597.17/23,720.94
  6. Step 6: Final answer
    x = 11,885.94

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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.