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Finding the Fourth Proportional to 17,725, 24,464.82 and 10,277.32

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Solution

The fourth proportional to 17,725, 24,464.82 and 10,277.32 is: 14,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725 : 24,464.82 = 10,277.32 : x
  2. Step 2: Convert to fraction form
    17,725/24,464.82 = 10,277.32/x
  3. Step 3: Cross multiply
    17,725x = 24,464.82 × 10,277.32
  4. Step 4: Simplify right side
    17,725x = 251,432,783.88
  5. Step 5: Solve for x
    x = 251,432,783.88/17,725
  6. Step 6: Final answer
    x = 14,185.21

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