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Finding the Fourth Proportional to 15,269.35, 22,862.97 and 9,692.50

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Solution

The fourth proportional to 15,269.35, 22,862.97 and 9,692.50 is: 14,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,269.35 : 22,862.97 = 9,692.50 : x
  2. Step 2: Convert to fraction form
    15,269.35/22,862.97 = 9,692.50/x
  3. Step 3: Cross multiply
    15,269.35x = 22,862.97 × 9,692.50
  4. Step 4: Simplify right side
    15,269.35x = 221,599,336.73
  5. Step 5: Solve for x
    x = 221,599,336.73/15,269.35
  6. Step 6: Final answer
    x = 14,512.69

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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.