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Finding the Fourth Proportional to 15,649.84, 21,589.56 and 9,022

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Solution

The fourth proportional to 15,649.84, 21,589.56 and 9,022 is: 12,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.84 : 21,589.56 = 9,022 : x
  2. Step 2: Convert to fraction form
    15,649.84/21,589.56 = 9,022/x
  3. Step 3: Cross multiply
    15,649.84x = 21,589.56 × 9,022
  4. Step 4: Simplify right side
    15,649.84x = 194,781,010.32
  5. Step 5: Solve for x
    x = 194,781,010.32/15,649.84
  6. Step 6: Final answer
    x = 12,446.20

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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.