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Finding the Fourth Proportional to 16,570.52, 24,837.76 and 8,256.68

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Solution

The fourth proportional to 16,570.52, 24,837.76 and 8,256.68 is: 12,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570.52 : 24,837.76 = 8,256.68 : x
  2. Step 2: Convert to fraction form
    16,570.52/24,837.76 = 8,256.68/x
  3. Step 3: Cross multiply
    16,570.52x = 24,837.76 × 8,256.68
  4. Step 4: Simplify right side
    16,570.52x = 205,077,436.24
  5. Step 5: Solve for x
    x = 205,077,436.24/16,570.52
  6. Step 6: Final answer
    x = 12,376.04

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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.