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Finding the Fourth Proportional to 16,255.72, 24,358 and 12,567

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Solution

The fourth proportional to 16,255.72, 24,358 and 12,567 is: 18,830.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.72 : 24,358 = 12,567 : x
  2. Step 2: Convert to fraction form
    16,255.72/24,358 = 12,567/x
  3. Step 3: Cross multiply
    16,255.72x = 24,358 × 12,567
  4. Step 4: Simplify right side
    16,255.72x = 306,106,986
  5. Step 5: Solve for x
    x = 306,106,986/16,255.72
  6. Step 6: Final answer
    x = 18,830.72

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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.