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Finding the Fourth Proportional to 13,675.30, 20,551.42 and 8,129.63

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Solution

The fourth proportional to 13,675.30, 20,551.42 and 8,129.63 is: 12,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.30 : 20,551.42 = 8,129.63 : x
  2. Step 2: Convert to fraction form
    13,675.30/20,551.42 = 8,129.63/x
  3. Step 3: Cross multiply
    13,675.30x = 20,551.42 × 8,129.63
  4. Step 4: Simplify right side
    13,675.30x = 167,075,502.12
  5. Step 5: Solve for x
    x = 167,075,502.12/13,675.30
  6. Step 6: Final answer
    x = 12,217.32

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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.