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Finding the Fourth Proportional to 16,314.36, 24,473.32 and 5,218.44

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Solution

The fourth proportional to 16,314.36, 24,473.32 and 5,218.44 is: 7,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.36 : 24,473.32 = 5,218.44 : x
  2. Step 2: Convert to fraction form
    16,314.36/24,473.32 = 5,218.44/x
  3. Step 3: Cross multiply
    16,314.36x = 24,473.32 × 5,218.44
  4. Step 4: Simplify right side
    16,314.36x = 127,712,538.97
  5. Step 5: Solve for x
    x = 127,712,538.97/16,314.36
  6. Step 6: Final answer
    x = 7,828.23

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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.