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Finding the Fourth Proportional to 13,097.50, 18,076.41 and 7,433.65

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Solution

The fourth proportional to 13,097.50, 18,076.41 and 7,433.65 is: 10,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.50 : 18,076.41 = 7,433.65 : x
  2. Step 2: Convert to fraction form
    13,097.50/18,076.41 = 7,433.65/x
  3. Step 3: Cross multiply
    13,097.50x = 18,076.41 × 7,433.65
  4. Step 4: Simplify right side
    13,097.50x = 134,373,614.81
  5. Step 5: Solve for x
    x = 134,373,614.81/13,097.50
  6. Step 6: Final answer
    x = 10,259.49

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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.