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Finding the Fourth Proportional to 16,640.72, 24,941.10 and 9,606.06

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Solution

The fourth proportional to 16,640.72, 24,941.10 and 9,606.06 is: 14,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640.72 : 24,941.10 = 9,606.06 : x
  2. Step 2: Convert to fraction form
    16,640.72/24,941.10 = 9,606.06/x
  3. Step 3: Cross multiply
    16,640.72x = 24,941.10 × 9,606.06
  4. Step 4: Simplify right side
    16,640.72x = 239,585,703.07
  5. Step 5: Solve for x
    x = 239,585,703.07/16,640.72
  6. Step 6: Final answer
    x = 14,397.56

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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.