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Finding the Fourth Proportional to 13,230, 18,251.07 and 7,923.78

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Solution

The fourth proportional to 13,230, 18,251.07 and 7,923.78 is: 10,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230 : 18,251.07 = 7,923.78 : x
  2. Step 2: Convert to fraction form
    13,230/18,251.07 = 7,923.78/x
  3. Step 3: Cross multiply
    13,230x = 18,251.07 × 7,923.78
  4. Step 4: Simplify right side
    13,230x = 144,617,463.44
  5. Step 5: Solve for x
    x = 144,617,463.44/13,230
  6. Step 6: Final answer
    x = 10,931.03

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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.