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Finding the Fourth Proportional to 11,802.44, 16,276.74 and 9,819.56

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Solution

The fourth proportional to 11,802.44, 16,276.74 and 9,819.56 is: 13,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.44 : 16,276.74 = 9,819.56 : x
  2. Step 2: Convert to fraction form
    11,802.44/16,276.74 = 9,819.56/x
  3. Step 3: Cross multiply
    11,802.44x = 16,276.74 × 9,819.56
  4. Step 4: Simplify right side
    11,802.44x = 159,830,425.03
  5. Step 5: Solve for x
    x = 159,830,425.03/11,802.44
  6. Step 6: Final answer
    x = 13,542.15

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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.