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Finding the Fourth Proportional to 15,819.54, 21,830.31 and 9,100.59

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Solution

The fourth proportional to 15,819.54, 21,830.31 and 9,100.59 is: 12,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.54 : 21,830.31 = 9,100.59 : x
  2. Step 2: Convert to fraction form
    15,819.54/21,830.31 = 9,100.59/x
  3. Step 3: Cross multiply
    15,819.54x = 21,830.31 × 9,100.59
  4. Step 4: Simplify right side
    15,819.54x = 198,668,700.88
  5. Step 5: Solve for x
    x = 198,668,700.88/15,819.54
  6. Step 6: Final answer
    x = 12,558.44

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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.