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Finding the Fourth Proportional to 14,536.68, 20,057.40 and 9,238.20

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Solution

The fourth proportional to 14,536.68, 20,057.40 and 9,238.20 is: 12,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.68 : 20,057.40 = 9,238.20 : x
  2. Step 2: Convert to fraction form
    14,536.68/20,057.40 = 9,238.20/x
  3. Step 3: Cross multiply
    14,536.68x = 20,057.40 × 9,238.20
  4. Step 4: Simplify right side
    14,536.68x = 185,294,272.68
  5. Step 5: Solve for x
    x = 185,294,272.68/14,536.68
  6. Step 6: Final answer
    x = 12,746.67

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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.