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Finding the Fourth Proportional to 16,307, 24,433.24 and 15,700.28

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Solution

The fourth proportional to 16,307, 24,433.24 and 15,700.28 is: 23,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307 : 24,433.24 = 15,700.28 : x
  2. Step 2: Convert to fraction form
    16,307/24,433.24 = 15,700.28/x
  3. Step 3: Cross multiply
    16,307x = 24,433.24 × 15,700.28
  4. Step 4: Simplify right side
    16,307x = 383,608,709.31
  5. Step 5: Solve for x
    x = 383,608,709.31/16,307
  6. Step 6: Final answer
    x = 23,524.17

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