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Finding the Fourth Proportional to 14,026.01, 19,355.09 and 7,738.38

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Solution

The fourth proportional to 14,026.01, 19,355.09 and 7,738.38 is: 10,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026.01 : 19,355.09 = 7,738.38 : x
  2. Step 2: Convert to fraction form
    14,026.01/19,355.09 = 7,738.38/x
  3. Step 3: Cross multiply
    14,026.01x = 19,355.09 × 7,738.38
  4. Step 4: Simplify right side
    14,026.01x = 149,777,002.66
  5. Step 5: Solve for x
    x = 149,777,002.66/14,026.01
  6. Step 6: Final answer
    x = 10,678.52

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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.