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Finding the Fourth Proportional to 13,958.96, 19,263.66 and 7,671.38

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Solution

The fourth proportional to 13,958.96, 19,263.66 and 7,671.38 is: 10,586.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.96 : 19,263.66 = 7,671.38 : x
  2. Step 2: Convert to fraction form
    13,958.96/19,263.66 = 7,671.38/x
  3. Step 3: Cross multiply
    13,958.96x = 19,263.66 × 7,671.38
  4. Step 4: Simplify right side
    13,958.96x = 147,778,856.05
  5. Step 5: Solve for x
    x = 147,778,856.05/13,958.96
  6. Step 6: Final answer
    x = 10,586.67

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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.