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Finding the Fourth Proportional to 25,735.95, 35,515.44 and 14,406.48

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Solution

The fourth proportional to 25,735.95, 35,515.44 and 14,406.48 is: 19,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735.95 : 35,515.44 = 14,406.48 : x
  2. Step 2: Convert to fraction form
    25,735.95/35,515.44 = 14,406.48/x
  3. Step 3: Cross multiply
    25,735.95x = 35,515.44 × 14,406.48
  4. Step 4: Simplify right side
    25,735.95x = 511,652,476.05
  5. Step 5: Solve for x
    x = 511,652,476.05/25,735.95
  6. Step 6: Final answer
    x = 19,880.85

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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.