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Finding the Fourth Proportional to 17,456, 24,089.12 and 10,382.24

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Solution

The fourth proportional to 17,456, 24,089.12 and 10,382.24 is: 14,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456 : 24,089.12 = 10,382.24 : x
  2. Step 2: Convert to fraction form
    17,456/24,089.12 = 10,382.24/x
  3. Step 3: Cross multiply
    17,456x = 24,089.12 × 10,382.24
  4. Step 4: Simplify right side
    17,456x = 250,099,025.23
  5. Step 5: Solve for x
    x = 250,099,025.23/17,456
  6. Step 6: Final answer
    x = 14,327.40

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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.