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Finding the Fourth Proportional to 24,514.77, 33,833.84 and 14,309.15

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Solution

The fourth proportional to 24,514.77, 33,833.84 and 14,309.15 is: 19,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.77 : 33,833.84 = 14,309.15 : x
  2. Step 2: Convert to fraction form
    24,514.77/33,833.84 = 14,309.15/x
  3. Step 3: Cross multiply
    24,514.77x = 33,833.84 × 14,309.15
  4. Step 4: Simplify right side
    24,514.77x = 484,133,576.22
  5. Step 5: Solve for x
    x = 484,133,576.22/24,514.77
  6. Step 6: Final answer
    x = 19,748.65

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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.