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Finding the Fourth Proportional to 14,093,462, 19,448,997 and 7,654,934

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Solution

The fourth proportional to 14,093,462, 19,448,997 and 7,654,934 is: 10,563,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093,462 : 19,448,997 = 7,654,934 : x
  2. Step 2: Convert to fraction form
    14,093,462/19,448,997 = 7,654,934/x
  3. Step 3: Cross multiply
    14,093,462x = 19,448,997 × 7,654,934
  4. Step 4: Simplify right side
    14,093,462x = 148,880,788,401,198
  5. Step 5: Solve for x
    x = 148,880,788,401,198/14,093,462
  6. Step 6: Final answer
    x = 10,563,819.48

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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.