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Finding the Fourth Proportional to 25,774.40, 35,571.16 and 14,445.80

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Solution

The fourth proportional to 25,774.40, 35,571.16 and 14,445.80 is: 19,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774.40 : 35,571.16 = 14,445.80 : x
  2. Step 2: Convert to fraction form
    25,774.40/35,571.16 = 14,445.80/x
  3. Step 3: Cross multiply
    25,774.40x = 35,571.16 × 14,445.80
  4. Step 4: Simplify right side
    25,774.40x = 513,853,915.94
  5. Step 5: Solve for x
    x = 513,853,915.94/25,774.40
  6. Step 6: Final answer
    x = 19,936.60

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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.