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Finding the Fourth Proportional to 24,150, 33,327.09 and 14,085.39

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Solution

The fourth proportional to 24,150, 33,327.09 and 14,085.39 is: 19,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,150 : 33,327.09 = 14,085.39 : x
  2. Step 2: Convert to fraction form
    24,150/33,327.09 = 14,085.39/x
  3. Step 3: Cross multiply
    24,150x = 33,327.09 × 14,085.39
  4. Step 4: Simplify right side
    24,150x = 469,425,060.22
  5. Step 5: Solve for x
    x = 469,425,060.22/24,150
  6. Step 6: Final answer
    x = 19,437.89

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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.