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Finding the Fourth Proportional to 13,076.10, 19,603.11 and 5,674.97

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Solution

The fourth proportional to 13,076.10, 19,603.11 and 5,674.97 is: 8,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.10 : 19,603.11 = 5,674.97 : x
  2. Step 2: Convert to fraction form
    13,076.10/19,603.11 = 5,674.97/x
  3. Step 3: Cross multiply
    13,076.10x = 19,603.11 × 5,674.97
  4. Step 4: Simplify right side
    13,076.10x = 111,247,159.01
  5. Step 5: Solve for x
    x = 111,247,159.01/13,076.10
  6. Step 6: Final answer
    x = 8,507.67

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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.