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Finding the Fourth Proportional to 29,983.68, 44,980.80 and 11,514.24

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Solution

The fourth proportional to 29,983.68, 44,980.80 and 11,514.24 is: 17,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,983.68 : 44,980.80 = 11,514.24 : x
  2. Step 2: Convert to fraction form
    29,983.68/44,980.80 = 11,514.24/x
  3. Step 3: Cross multiply
    29,983.68x = 44,980.80 × 11,514.24
  4. Step 4: Simplify right side
    29,983.68x = 517,919,726.59
  5. Step 5: Solve for x
    x = 517,919,726.59/29,983.68
  6. Step 6: Final answer
    x = 17,273.39

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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.