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Finding the Fourth Proportional to 13,274.08, 18,317.69 and 7,823.09

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Solution

The fourth proportional to 13,274.08, 18,317.69 and 7,823.09 is: 10,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.08 : 18,317.69 = 7,823.09 : x
  2. Step 2: Convert to fraction form
    13,274.08/18,317.69 = 7,823.09/x
  3. Step 3: Cross multiply
    13,274.08x = 18,317.69 × 7,823.09
  4. Step 4: Simplify right side
    13,274.08x = 143,300,937.46
  5. Step 5: Solve for x
    x = 143,300,937.46/13,274.08
  6. Step 6: Final answer
    x = 10,795.55

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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.