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Finding the Fourth Proportional to 25,754.84, 35,543.94 and 14,424.15

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Solution

The fourth proportional to 25,754.84, 35,543.94 and 14,424.15 is: 19,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.84 : 35,543.94 = 14,424.15 : x
  2. Step 2: Convert to fraction form
    25,754.84/35,543.94 = 14,424.15/x
  3. Step 3: Cross multiply
    25,754.84x = 35,543.94 × 14,424.15
  4. Step 4: Simplify right side
    25,754.84x = 512,691,122.15
  5. Step 5: Solve for x
    x = 512,691,122.15/25,754.84
  6. Step 6: Final answer
    x = 19,906.59

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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.