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Finding the Fourth Proportional to 19,897.36, 27,458.16 and 10,945

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Solution

The fourth proportional to 19,897.36, 27,458.16 and 10,945 is: 15,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.36 : 27,458.16 = 10,945 : x
  2. Step 2: Convert to fraction form
    19,897.36/27,458.16 = 10,945/x
  3. Step 3: Cross multiply
    19,897.36x = 27,458.16 × 10,945
  4. Step 4: Simplify right side
    19,897.36x = 300,529,561.20
  5. Step 5: Solve for x
    x = 300,529,561.20/19,897.36
  6. Step 6: Final answer
    x = 15,103.99

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