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Finding the Fourth Proportional to 14,638.87, 21,915.23 and 9,074.35

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Solution

The fourth proportional to 14,638.87, 21,915.23 and 9,074.35 is: 13,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.87 : 21,915.23 = 9,074.35 : x
  2. Step 2: Convert to fraction form
    14,638.87/21,915.23 = 9,074.35/x
  3. Step 3: Cross multiply
    14,638.87x = 21,915.23 × 9,074.35
  4. Step 4: Simplify right side
    14,638.87x = 198,866,467.35
  5. Step 5: Solve for x
    x = 198,866,467.35/14,638.87
  6. Step 6: Final answer
    x = 13,584.82

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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.