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Finding the Fourth Proportional to 13,709.12, 20,563.84 and 7,134.08

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Solution

The fourth proportional to 13,709.12, 20,563.84 and 7,134.08 is: 10,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.12 : 20,563.84 = 7,134.08 : x
  2. Step 2: Convert to fraction form
    13,709.12/20,563.84 = 7,134.08/x
  3. Step 3: Cross multiply
    13,709.12x = 20,563.84 × 7,134.08
  4. Step 4: Simplify right side
    13,709.12x = 146,704,079.67
  5. Step 5: Solve for x
    x = 146,704,079.67/13,709.12
  6. Step 6: Final answer
    x = 10,701.20

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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.