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Finding the Fourth Proportional to 23,782,728, 32,820,197.45 and 12,917,712

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Solution

The fourth proportional to 23,782,728, 32,820,197.45 and 12,917,712 is: 17,826,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782,728 : 32,820,197.45 = 12,917,712 : x
  2. Step 2: Convert to fraction form
    23,782,728/32,820,197.45 = 12,917,712/x
  3. Step 3: Cross multiply
    23,782,728x = 32,820,197.45 × 12,917,712
  4. Step 4: Simplify right side
    23,782,728x = 423,961,858,377,645.88
  5. Step 5: Solve for x
    x = 423,961,858,377,645.88/23,782,728
  6. Step 6: Final answer
    x = 17,826,460.38

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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.