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Finding the Fourth Proportional to 16,347.72, 24,536.97 and 8,562

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Solution

The fourth proportional to 16,347.72, 24,536.97 and 8,562 is: 12,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.72 : 24,536.97 = 8,562 : x
  2. Step 2: Convert to fraction form
    16,347.72/24,536.97 = 8,562/x
  3. Step 3: Cross multiply
    16,347.72x = 24,536.97 × 8,562
  4. Step 4: Simplify right side
    16,347.72x = 210,085,537.14
  5. Step 5: Solve for x
    x = 210,085,537.14/16,347.72
  6. Step 6: Final answer
    x = 12,851.06

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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.