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Finding the Fourth Proportional to 19,897.88, 27,457.68 and 10,945.76

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Solution

The fourth proportional to 19,897.88, 27,457.68 and 10,945.76 is: 15,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.88 : 27,457.68 = 10,945.76 : x
  2. Step 2: Convert to fraction form
    19,897.88/27,457.68 = 10,945.76/x
  3. Step 3: Cross multiply
    19,897.88x = 27,457.68 × 10,945.76
  4. Step 4: Simplify right side
    19,897.88x = 300,545,175.44
  5. Step 5: Solve for x
    x = 300,545,175.44/19,897.88
  6. Step 6: Final answer
    x = 15,104.38

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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.