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Finding the Fourth Proportional to 16,535.48, 24,786.23 and 6,536.16

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Solution

The fourth proportional to 16,535.48, 24,786.23 and 6,536.16 is: 9,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.48 : 24,786.23 = 6,536.16 : x
  2. Step 2: Convert to fraction form
    16,535.48/24,786.23 = 6,536.16/x
  3. Step 3: Cross multiply
    16,535.48x = 24,786.23 × 6,536.16
  4. Step 4: Simplify right side
    16,535.48x = 162,006,803.06
  5. Step 5: Solve for x
    x = 162,006,803.06/16,535.48
  6. Step 6: Final answer
    x = 9,797.53

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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.