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Finding the Fourth Proportional to 16,307, 24,460.56 and 3,995

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Solution

The fourth proportional to 16,307, 24,460.56 and 3,995 is: 5,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307 : 24,460.56 = 3,995 : x
  2. Step 2: Convert to fraction form
    16,307/24,460.56 = 3,995/x
  3. Step 3: Cross multiply
    16,307x = 24,460.56 × 3,995
  4. Step 4: Simplify right side
    16,307x = 97,719,937.20
  5. Step 5: Solve for x
    x = 97,719,937.20/16,307
  6. Step 6: Final answer
    x = 5,992.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.