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Finding the Fourth Proportional to 24,497.62, 33,805.70 and 13,887.97

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Solution

The fourth proportional to 24,497.62, 33,805.70 and 13,887.97 is: 19,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.62 : 33,805.70 = 13,887.97 : x
  2. Step 2: Convert to fraction form
    24,497.62/33,805.70 = 13,887.97/x
  3. Step 3: Cross multiply
    24,497.62x = 33,805.70 × 13,887.97
  4. Step 4: Simplify right side
    24,497.62x = 469,492,477.99
  5. Step 5: Solve for x
    x = 469,492,477.99/24,497.62
  6. Step 6: Final answer
    x = 19,164.82

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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.