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Finding the Fourth Proportional to 15,503.96, 23,255.70 and 3,817.28

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Solution

The fourth proportional to 15,503.96, 23,255.70 and 3,817.28 is: 5,725.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503.96 : 23,255.70 = 3,817.28 : x
  2. Step 2: Convert to fraction form
    15,503.96/23,255.70 = 3,817.28/x
  3. Step 3: Cross multiply
    15,503.96x = 23,255.70 × 3,817.28
  4. Step 4: Simplify right side
    15,503.96x = 88,773,518.50
  5. Step 5: Solve for x
    x = 88,773,518.50/15,503.96
  6. Step 6: Final answer
    x = 5,725.86

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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.