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Finding the Fourth Proportional to 15,819.49, 21,830.91 and 9,106.43

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Solution

The fourth proportional to 15,819.49, 21,830.91 and 9,106.43 is: 12,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.49 : 21,830.91 = 9,106.43 : x
  2. Step 2: Convert to fraction form
    15,819.49/21,830.91 = 9,106.43/x
  3. Step 3: Cross multiply
    15,819.49x = 21,830.91 × 9,106.43
  4. Step 4: Simplify right side
    15,819.49x = 198,801,555.27
  5. Step 5: Solve for x
    x = 198,801,555.27/15,819.49
  6. Step 6: Final answer
    x = 12,566.88

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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.