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Finding the Fourth Proportional to 16,274.72, 24,412.49 and 4,587.50

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Solution

The fourth proportional to 16,274.72, 24,412.49 and 4,587.50 is: 6,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.72 : 24,412.49 = 4,587.50 : x
  2. Step 2: Convert to fraction form
    16,274.72/24,412.49 = 4,587.50/x
  3. Step 3: Cross multiply
    16,274.72x = 24,412.49 × 4,587.50
  4. Step 4: Simplify right side
    16,274.72x = 111,992,297.88
  5. Step 5: Solve for x
    x = 111,992,297.88/16,274.72
  6. Step 6: Final answer
    x = 6,881.37

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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.