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Finding the Fourth Proportional to 16,216.54, 24,315.06 and 6,344.06

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Solution

The fourth proportional to 16,216.54, 24,315.06 and 6,344.06 is: 9,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.54 : 24,315.06 = 6,344.06 : x
  2. Step 2: Convert to fraction form
    16,216.54/24,315.06 = 6,344.06/x
  3. Step 3: Cross multiply
    16,216.54x = 24,315.06 × 6,344.06
  4. Step 4: Simplify right side
    16,216.54x = 154,256,199.54
  5. Step 5: Solve for x
    x = 154,256,199.54/16,216.54
  6. Step 6: Final answer
    x = 9,512.28

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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.