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Finding the Fourth Proportional to 16,536.65, 24,808.39 and 5,444

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Solution

The fourth proportional to 16,536.65, 24,808.39 and 5,444 is: 8,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.65 : 24,808.39 = 5,444 : x
  2. Step 2: Convert to fraction form
    16,536.65/24,808.39 = 5,444/x
  3. Step 3: Cross multiply
    16,536.65x = 24,808.39 × 5,444
  4. Step 4: Simplify right side
    16,536.65x = 135,056,875.16
  5. Step 5: Solve for x
    x = 135,056,875.16/16,536.65
  6. Step 6: Final answer
    x = 8,167.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.