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Finding the Fourth Proportional to 25,647.74, 35,409.89 and 19,667.90

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Solution

The fourth proportional to 25,647.74, 35,409.89 and 19,667.90 is: 27,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,647.74 : 35,409.89 = 19,667.90 : x
  2. Step 2: Convert to fraction form
    25,647.74/35,409.89 = 19,667.90/x
  3. Step 3: Cross multiply
    25,647.74x = 35,409.89 × 19,667.90
  4. Step 4: Simplify right side
    25,647.74x = 696,438,175.53
  5. Step 5: Solve for x
    x = 696,438,175.53/25,647.74
  6. Step 6: Final answer
    x = 27,153.98

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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.