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Finding the Fourth Proportional to 16,180.84, 24,270.22 and 9,521

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Solution

The fourth proportional to 16,180.84, 24,270.22 and 9,521 is: 14,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.84 : 24,270.22 = 9,521 : x
  2. Step 2: Convert to fraction form
    16,180.84/24,270.22 = 9,521/x
  3. Step 3: Cross multiply
    16,180.84x = 24,270.22 × 9,521
  4. Step 4: Simplify right side
    16,180.84x = 231,076,764.62
  5. Step 5: Solve for x
    x = 231,076,764.62/16,180.84
  6. Step 6: Final answer
    x = 14,280.89

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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.