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Finding the Fourth Proportional to 16,447, 24,670.50 and 5,503

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Solution

The fourth proportional to 16,447, 24,670.50 and 5,503 is: 8,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447 : 24,670.50 = 5,503 : x
  2. Step 2: Convert to fraction form
    16,447/24,670.50 = 5,503/x
  3. Step 3: Cross multiply
    16,447x = 24,670.50 × 5,503
  4. Step 4: Simplify right side
    16,447x = 135,761,761.50
  5. Step 5: Solve for x
    x = 135,761,761.50/16,447
  6. Step 6: Final answer
    x = 8,254.50

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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.