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Finding the Fourth Proportional to 14,575.95, 20,114.33 and 8,202.67

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Solution

The fourth proportional to 14,575.95, 20,114.33 and 8,202.67 is: 11,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.95 : 20,114.33 = 8,202.67 : x
  2. Step 2: Convert to fraction form
    14,575.95/20,114.33 = 8,202.67/x
  3. Step 3: Cross multiply
    14,575.95x = 20,114.33 × 8,202.67
  4. Step 4: Simplify right side
    14,575.95x = 164,991,119.96
  5. Step 5: Solve for x
    x = 164,991,119.96/14,575.95
  6. Step 6: Final answer
    x = 11,319.41

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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.