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Finding the Fourth Proportional to 17,724.84, 24,460.38 and 9,767.22

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Solution

The fourth proportional to 17,724.84, 24,460.38 and 9,767.22 is: 13,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.84 : 24,460.38 = 9,767.22 : x
  2. Step 2: Convert to fraction form
    17,724.84/24,460.38 = 9,767.22/x
  3. Step 3: Cross multiply
    17,724.84x = 24,460.38 × 9,767.22
  4. Step 4: Simplify right side
    17,724.84x = 238,909,912.74
  5. Step 5: Solve for x
    x = 238,909,912.74/17,724.84
  6. Step 6: Final answer
    x = 13,478.82

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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.