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Finding the Fourth Proportional to 25,817.43, 35,624.64 and 14,486.49

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Solution

The fourth proportional to 25,817.43, 35,624.64 and 14,486.49 is: 19,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,817.43 : 35,624.64 = 14,486.49 : x
  2. Step 2: Convert to fraction form
    25,817.43/35,624.64 = 14,486.49/x
  3. Step 3: Cross multiply
    25,817.43x = 35,624.64 × 14,486.49
  4. Step 4: Simplify right side
    25,817.43x = 516,075,991.11
  5. Step 5: Solve for x
    x = 516,075,991.11/25,817.43
  6. Step 6: Final answer
    x = 19,989.44

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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.