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Finding the Fourth Proportional to 15,665.94, 23,499.15 and 5,137.05

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Solution

The fourth proportional to 15,665.94, 23,499.15 and 5,137.05 is: 7,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.94 : 23,499.15 = 5,137.05 : x
  2. Step 2: Convert to fraction form
    15,665.94/23,499.15 = 5,137.05/x
  3. Step 3: Cross multiply
    15,665.94x = 23,499.15 × 5,137.05
  4. Step 4: Simplify right side
    15,665.94x = 120,716,377.37
  5. Step 5: Solve for x
    x = 120,716,377.37/15,665.94
  6. Step 6: Final answer
    x = 7,705.66

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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.