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Finding the Fourth Proportional to 23,647.77, 35,471.66 and 8,065.53

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Solution

The fourth proportional to 23,647.77, 35,471.66 and 8,065.53 is: 12,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.77 : 35,471.66 = 8,065.53 : x
  2. Step 2: Convert to fraction form
    23,647.77/35,471.66 = 8,065.53/x
  3. Step 3: Cross multiply
    23,647.77x = 35,471.66 × 8,065.53
  4. Step 4: Simplify right side
    23,647.77x = 286,097,697.55
  5. Step 5: Solve for x
    x = 286,097,697.55/23,647.77
  6. Step 6: Final answer
    x = 12,098.30

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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.