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Finding the Fourth Proportional to 16,271.50, 22,454.67 and 8,819.50

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Solution

The fourth proportional to 16,271.50, 22,454.67 and 8,819.50 is: 12,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.50 : 22,454.67 = 8,819.50 : x
  2. Step 2: Convert to fraction form
    16,271.50/22,454.67 = 8,819.50/x
  3. Step 3: Cross multiply
    16,271.50x = 22,454.67 × 8,819.50
  4. Step 4: Simplify right side
    16,271.50x = 198,038,962.07
  5. Step 5: Solve for x
    x = 198,038,962.07/16,271.50
  6. Step 6: Final answer
    x = 12,170.91

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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.