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Finding the Fourth Proportional to 23,505.98, 35,259.10 and 7,923.74

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Solution

The fourth proportional to 23,505.98, 35,259.10 and 7,923.74 is: 11,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.98 : 35,259.10 = 7,923.74 : x
  2. Step 2: Convert to fraction form
    23,505.98/35,259.10 = 7,923.74/x
  3. Step 3: Cross multiply
    23,505.98x = 35,259.10 × 7,923.74
  4. Step 4: Simplify right side
    23,505.98x = 279,383,941.03
  5. Step 5: Solve for x
    x = 279,383,941.03/23,505.98
  6. Step 6: Final answer
    x = 11,885.65

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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.