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Finding the Fourth Proportional to 17,855,108, 24,640,224 and 9,706,520.96

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Solution

The fourth proportional to 17,855,108, 24,640,224 and 9,706,520.96 is: 13,395,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855,108 : 24,640,224 = 9,706,520.96 : x
  2. Step 2: Convert to fraction form
    17,855,108/24,640,224 = 9,706,520.96/x
  3. Step 3: Cross multiply
    17,855,108x = 24,640,224 × 9,706,520.96
  4. Step 4: Simplify right side
    17,855,108x = 239,170,850,715,095.06
  5. Step 5: Solve for x
    x = 239,170,850,715,095.06/17,855,108
  6. Step 6: Final answer
    x = 13,395,094.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.