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Finding the Fourth Proportional to 15,269.85, 22,863.72 and 9,693

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Solution

The fourth proportional to 15,269.85, 22,863.72 and 9,693 is: 14,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,269.85 : 22,863.72 = 9,693 : x
  2. Step 2: Convert to fraction form
    15,269.85/22,863.72 = 9,693/x
  3. Step 3: Cross multiply
    15,269.85x = 22,863.72 × 9,693
  4. Step 4: Simplify right side
    15,269.85x = 221,618,037.96
  5. Step 5: Solve for x
    x = 221,618,037.96/15,269.85
  6. Step 6: Final answer
    x = 14,513.44

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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.