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Finding the Fourth Proportional to 13,869.32, 19,138.94 and 7,580.48

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Solution

The fourth proportional to 13,869.32, 19,138.94 and 7,580.48 is: 10,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.32 : 19,138.94 = 7,580.48 : x
  2. Step 2: Convert to fraction form
    13,869.32/19,138.94 = 7,580.48/x
  3. Step 3: Cross multiply
    13,869.32x = 19,138.94 × 7,580.48
  4. Step 4: Simplify right side
    13,869.32x = 145,082,351.89
  5. Step 5: Solve for x
    x = 145,082,351.89/13,869.32
  6. Step 6: Final answer
    x = 10,460.67

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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.