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Finding the Fourth Proportional to 16,216.83, 24,336.07 and 5,686.84

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Solution

The fourth proportional to 16,216.83, 24,336.07 and 5,686.84 is: 8,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.83 : 24,336.07 = 5,686.84 : x
  2. Step 2: Convert to fraction form
    16,216.83/24,336.07 = 5,686.84/x
  3. Step 3: Cross multiply
    16,216.83x = 24,336.07 × 5,686.84
  4. Step 4: Simplify right side
    16,216.83x = 138,395,336.32
  5. Step 5: Solve for x
    x = 138,395,336.32/16,216.83
  6. Step 6: Final answer
    x = 8,534.06

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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.