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Finding the Fourth Proportional to 19,514.36, 29,262.90 and 14,019.32

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Solution

The fourth proportional to 19,514.36, 29,262.90 and 14,019.32 is: 21,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514.36 : 29,262.90 = 14,019.32 : x
  2. Step 2: Convert to fraction form
    19,514.36/29,262.90 = 14,019.32/x
  3. Step 3: Cross multiply
    19,514.36x = 29,262.90 × 14,019.32
  4. Step 4: Simplify right side
    19,514.36x = 410,245,959.23
  5. Step 5: Solve for x
    x = 410,245,959.23/19,514.36
  6. Step 6: Final answer
    x = 21,022.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.