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Finding the Fourth Proportional to 25,877.40, 35,759.22 and 22,047

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Solution

The fourth proportional to 25,877.40, 35,759.22 and 22,047 is: 30,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.40 : 35,759.22 = 22,047 : x
  2. Step 2: Convert to fraction form
    25,877.40/35,759.22 = 22,047/x
  3. Step 3: Cross multiply
    25,877.40x = 35,759.22 × 22,047
  4. Step 4: Simplify right side
    25,877.40x = 788,383,523.34
  5. Step 5: Solve for x
    x = 788,383,523.34/25,877.40
  6. Step 6: Final answer
    x = 30,466.10

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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.