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Finding the Fourth Proportional to 18,896, 26,076.48 and 10,514.12

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Solution

The fourth proportional to 18,896, 26,076.48 and 10,514.12 is: 14,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896 : 26,076.48 = 10,514.12 : x
  2. Step 2: Convert to fraction form
    18,896/26,076.48 = 10,514.12/x
  3. Step 3: Cross multiply
    18,896x = 26,076.48 × 10,514.12
  4. Step 4: Simplify right side
    18,896x = 274,171,239.90
  5. Step 5: Solve for x
    x = 274,171,239.90/18,896
  6. Step 6: Final answer
    x = 14,509.49

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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.