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Finding the Fourth Proportional to 13,700.72, 20,536.50 and 7,120.28

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Solution

The fourth proportional to 13,700.72, 20,536.50 and 7,120.28 is: 10,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.72 : 20,536.50 = 7,120.28 : x
  2. Step 2: Convert to fraction form
    13,700.72/20,536.50 = 7,120.28/x
  3. Step 3: Cross multiply
    13,700.72x = 20,536.50 × 7,120.28
  4. Step 4: Simplify right side
    13,700.72x = 146,225,630.22
  5. Step 5: Solve for x
    x = 146,225,630.22/13,700.72
  6. Step 6: Final answer
    x = 10,672.84

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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.