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Finding the Fourth Proportional to 13,697.64, 20,528.76 and 6,195.72

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Solution

The fourth proportional to 13,697.64, 20,528.76 and 6,195.72 is: 9,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.64 : 20,528.76 = 6,195.72 : x
  2. Step 2: Convert to fraction form
    13,697.64/20,528.76 = 6,195.72/x
  3. Step 3: Cross multiply
    13,697.64x = 20,528.76 × 6,195.72
  4. Step 4: Simplify right side
    13,697.64x = 127,190,448.91
  5. Step 5: Solve for x
    x = 127,190,448.91/13,697.64
  6. Step 6: Final answer
    x = 9,285.57

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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.