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Finding the Fourth Proportional to 24,641.87, 36,965.87 and 9,647.05

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Solution

The fourth proportional to 24,641.87, 36,965.87 and 9,647.05 is: 14,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.87 : 36,965.87 = 9,647.05 : x
  2. Step 2: Convert to fraction form
    24,641.87/36,965.87 = 9,647.05/x
  3. Step 3: Cross multiply
    24,641.87x = 36,965.87 × 9,647.05
  4. Step 4: Simplify right side
    24,641.87x = 356,611,411.35
  5. Step 5: Solve for x
    x = 356,611,411.35/24,641.87
  6. Step 6: Final answer
    x = 14,471.77

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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.