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Finding the Fourth Proportional to 16,382.76, 24,577.38 and 5,995.32

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Solution

The fourth proportional to 16,382.76, 24,577.38 and 5,995.32 is: 8,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.76 : 24,577.38 = 5,995.32 : x
  2. Step 2: Convert to fraction form
    16,382.76/24,577.38 = 5,995.32/x
  3. Step 3: Cross multiply
    16,382.76x = 24,577.38 × 5,995.32
  4. Step 4: Simplify right side
    16,382.76x = 147,349,257.86
  5. Step 5: Solve for x
    x = 147,349,257.86/16,382.76
  6. Step 6: Final answer
    x = 8,994.17

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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.