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Finding the Fourth Proportional to 17,307, 23,872.59 and 10,228.41

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Solution

The fourth proportional to 17,307, 23,872.59 and 10,228.41 is: 14,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307 : 23,872.59 = 10,228.41 : x
  2. Step 2: Convert to fraction form
    17,307/23,872.59 = 10,228.41/x
  3. Step 3: Cross multiply
    17,307x = 23,872.59 × 10,228.41
  4. Step 4: Simplify right side
    17,307x = 244,178,638.28
  5. Step 5: Solve for x
    x = 244,178,638.28/17,307
  6. Step 6: Final answer
    x = 14,108.66

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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.