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Finding the Fourth Proportional to 15,772.84, 21,770.32 and 9,484

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Solution

The fourth proportional to 15,772.84, 21,770.32 and 9,484 is: 13,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.84 : 21,770.32 = 9,484 : x
  2. Step 2: Convert to fraction form
    15,772.84/21,770.32 = 9,484/x
  3. Step 3: Cross multiply
    15,772.84x = 21,770.32 × 9,484
  4. Step 4: Simplify right side
    15,772.84x = 206,469,714.88
  5. Step 5: Solve for x
    x = 206,469,714.88/15,772.84
  6. Step 6: Final answer
    x = 13,090.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.