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Finding the Fourth Proportional to 16,146.77, 24,219.49 and 5,619.20

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Solution

The fourth proportional to 16,146.77, 24,219.49 and 5,619.20 is: 8,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.77 : 24,219.49 = 5,619.20 : x
  2. Step 2: Convert to fraction form
    16,146.77/24,219.49 = 5,619.20/x
  3. Step 3: Cross multiply
    16,146.77x = 24,219.49 × 5,619.20
  4. Step 4: Simplify right side
    16,146.77x = 136,094,158.21
  5. Step 5: Solve for x
    x = 136,094,158.21/16,146.77
  6. Step 6: Final answer
    x = 8,428.57

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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.