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Finding the Fourth Proportional to 16,412.76, 24,625.08 and 7,523.82

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Solution

The fourth proportional to 16,412.76, 24,625.08 and 7,523.82 is: 11,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.76 : 24,625.08 = 7,523.82 : x
  2. Step 2: Convert to fraction form
    16,412.76/24,625.08 = 7,523.82/x
  3. Step 3: Cross multiply
    16,412.76x = 24,625.08 × 7,523.82
  4. Step 4: Simplify right side
    16,412.76x = 185,274,669.41
  5. Step 5: Solve for x
    x = 185,274,669.41/16,412.76
  6. Step 6: Final answer
    x = 11,288.45

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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.