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Finding the Fourth Proportional to 21,228, 31,853.68 and 10,284

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Solution

The fourth proportional to 21,228, 31,853.68 and 10,284 is: 15,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228 : 31,853.68 = 10,284 : x
  2. Step 2: Convert to fraction form
    21,228/31,853.68 = 10,284/x
  3. Step 3: Cross multiply
    21,228x = 31,853.68 × 10,284
  4. Step 4: Simplify right side
    21,228x = 327,583,245.12
  5. Step 5: Solve for x
    x = 327,583,245.12/21,228
  6. Step 6: Final answer
    x = 15,431.66

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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.