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Finding the Fourth Proportional to 25,705.98, 35,474.01 and 14,375.35

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Solution

The fourth proportional to 25,705.98, 35,474.01 and 14,375.35 is: 19,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,705.98 : 35,474.01 = 14,375.35 : x
  2. Step 2: Convert to fraction form
    25,705.98/35,474.01 = 14,375.35/x
  3. Step 3: Cross multiply
    25,705.98x = 35,474.01 × 14,375.35
  4. Step 4: Simplify right side
    25,705.98x = 509,951,060.41
  5. Step 5: Solve for x
    x = 509,951,060.41/25,705.98
  6. Step 6: Final answer
    x = 19,837.84

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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.