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Finding the Fourth Proportional to 23,771.81, 35,646.50 and 8,775.14

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Solution

The fourth proportional to 23,771.81, 35,646.50 and 8,775.14 is: 13,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.81 : 35,646.50 = 8,775.14 : x
  2. Step 2: Convert to fraction form
    23,771.81/35,646.50 = 8,775.14/x
  3. Step 3: Cross multiply
    23,771.81x = 35,646.50 × 8,775.14
  4. Step 4: Simplify right side
    23,771.81x = 312,802,805.90
  5. Step 5: Solve for x
    x = 312,802,805.90/23,771.81
  6. Step 6: Final answer
    x = 13,158.56

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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.