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Finding the Fourth Proportional to 23,806.09, 35,697.94 and 8,802.84

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Solution

The fourth proportional to 23,806.09, 35,697.94 and 8,802.84 is: 13,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.09 : 35,697.94 = 8,802.84 : x
  2. Step 2: Convert to fraction form
    23,806.09/35,697.94 = 8,802.84/x
  3. Step 3: Cross multiply
    23,806.09x = 35,697.94 × 8,802.84
  4. Step 4: Simplify right side
    23,806.09x = 314,243,254.15
  5. Step 5: Solve for x
    x = 314,243,254.15/23,806.09
  6. Step 6: Final answer
    x = 13,200.12

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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.