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Finding the Fourth Proportional to 16,536.24, 24,807.09 and 8,216.53

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Solution

The fourth proportional to 16,536.24, 24,807.09 and 8,216.53 is: 12,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.24 : 24,807.09 = 8,216.53 : x
  2. Step 2: Convert to fraction form
    16,536.24/24,807.09 = 8,216.53/x
  3. Step 3: Cross multiply
    16,536.24x = 24,807.09 × 8,216.53
  4. Step 4: Simplify right side
    16,536.24x = 203,828,199.20
  5. Step 5: Solve for x
    x = 203,828,199.20/16,536.24
  6. Step 6: Final answer
    x = 12,326.15

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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.