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Finding the Fourth Proportional to 17,968, 24,796.16 and 10,515.84

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Solution

The fourth proportional to 17,968, 24,796.16 and 10,515.84 is: 14,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,968 : 24,796.16 = 10,515.84 : x
  2. Step 2: Convert to fraction form
    17,968/24,796.16 = 10,515.84/x
  3. Step 3: Cross multiply
    17,968x = 24,796.16 × 10,515.84
  4. Step 4: Simplify right side
    17,968x = 260,752,451.17
  5. Step 5: Solve for x
    x = 260,752,451.17/17,968
  6. Step 6: Final answer
    x = 14,512.05

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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.