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Finding the Fourth Proportional to 13,615.83, 20,384.76 and 9,225.48

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Solution

The fourth proportional to 13,615.83, 20,384.76 and 9,225.48 is: 13,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.83 : 20,384.76 = 9,225.48 : x
  2. Step 2: Convert to fraction form
    13,615.83/20,384.76 = 9,225.48/x
  3. Step 3: Cross multiply
    13,615.83x = 20,384.76 × 9,225.48
  4. Step 4: Simplify right side
    13,615.83x = 188,059,195.68
  5. Step 5: Solve for x
    x = 188,059,195.68/13,615.83
  6. Step 6: Final answer
    x = 13,811.81

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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.