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Finding the Fourth Proportional to 16,215.78, 24,322 and 4,369.06

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Solution

The fourth proportional to 16,215.78, 24,322 and 4,369.06 is: 6,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.78 : 24,322 = 4,369.06 : x
  2. Step 2: Convert to fraction form
    16,215.78/24,322 = 4,369.06/x
  3. Step 3: Cross multiply
    16,215.78x = 24,322 × 4,369.06
  4. Step 4: Simplify right side
    16,215.78x = 106,264,277.32
  5. Step 5: Solve for x
    x = 106,264,277.32/16,215.78
  6. Step 6: Final answer
    x = 6,553.14

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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.