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Finding the Fourth Proportional to 18,915.25, 28,370.32 and 7,820.40

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Solution

The fourth proportional to 18,915.25, 28,370.32 and 7,820.40 is: 11,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,915.25 : 28,370.32 = 7,820.40 : x
  2. Step 2: Convert to fraction form
    18,915.25/28,370.32 = 7,820.40/x
  3. Step 3: Cross multiply
    18,915.25x = 28,370.32 × 7,820.40
  4. Step 4: Simplify right side
    18,915.25x = 221,867,250.53
  5. Step 5: Solve for x
    x = 221,867,250.53/18,915.25
  6. Step 6: Final answer
    x = 11,729.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.