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Finding the Fourth Proportional to 24,238.09, 33,437.63 and 14,162

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Solution

The fourth proportional to 24,238.09, 33,437.63 and 14,162 is: 19,537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238.09 : 33,437.63 = 14,162 : x
  2. Step 2: Convert to fraction form
    24,238.09/33,437.63 = 14,162/x
  3. Step 3: Cross multiply
    24,238.09x = 33,437.63 × 14,162
  4. Step 4: Simplify right side
    24,238.09x = 473,543,716.06
  5. Step 5: Solve for x
    x = 473,543,716.06/24,238.09
  6. Step 6: Final answer
    x = 19,537.17

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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.