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Finding the Fourth Proportional to 14,505.30, 20,015.73 and 8,538.84

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Solution

The fourth proportional to 14,505.30, 20,015.73 and 8,538.84 is: 11,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.30 : 20,015.73 = 8,538.84 : x
  2. Step 2: Convert to fraction form
    14,505.30/20,015.73 = 8,538.84/x
  3. Step 3: Cross multiply
    14,505.30x = 20,015.73 × 8,538.84
  4. Step 4: Simplify right side
    14,505.30x = 170,911,115.95
  5. Step 5: Solve for x
    x = 170,911,115.95/14,505.30
  6. Step 6: Final answer
    x = 11,782.67

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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.