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Finding the Fourth Proportional to 13,289, 19,923.51 and 8,025.80

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Solution

The fourth proportional to 13,289, 19,923.51 and 8,025.80 is: 12,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289 : 19,923.51 = 8,025.80 : x
  2. Step 2: Convert to fraction form
    13,289/19,923.51 = 8,025.80/x
  3. Step 3: Cross multiply
    13,289x = 19,923.51 × 8,025.80
  4. Step 4: Simplify right side
    13,289x = 159,902,106.56
  5. Step 5: Solve for x
    x = 159,902,106.56/13,289
  6. Step 6: Final answer
    x = 12,032.67

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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.