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Finding the Fourth Proportional to 16,102.56, 24,153 and 4,415.80

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Solution

The fourth proportional to 16,102.56, 24,153 and 4,415.80 is: 6,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.56 : 24,153 = 4,415.80 : x
  2. Step 2: Convert to fraction form
    16,102.56/24,153 = 4,415.80/x
  3. Step 3: Cross multiply
    16,102.56x = 24,153 × 4,415.80
  4. Step 4: Simplify right side
    16,102.56x = 106,654,817.40
  5. Step 5: Solve for x
    x = 106,654,817.40/16,102.56
  6. Step 6: Final answer
    x = 6,623.47

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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.