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Finding the Fourth Proportional to 13,096.50, 18,075 and 8,390.81

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Solution

The fourth proportional to 13,096.50, 18,075 and 8,390.81 is: 11,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.50 : 18,075 = 8,390.81 : x
  2. Step 2: Convert to fraction form
    13,096.50/18,075 = 8,390.81/x
  3. Step 3: Cross multiply
    13,096.50x = 18,075 × 8,390.81
  4. Step 4: Simplify right side
    13,096.50x = 151,663,800.38
  5. Step 5: Solve for x
    x = 151,663,800.38/13,096.50
  6. Step 6: Final answer
    x = 11,580.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.