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Finding the Fourth Proportional to 13,615.32, 20,384.02 and 9,224.98

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Solution

The fourth proportional to 13,615.32, 20,384.02 and 9,224.98 is: 13,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.32 : 20,384.02 = 9,224.98 : x
  2. Step 2: Convert to fraction form
    13,615.32/20,384.02 = 9,224.98/x
  3. Step 3: Cross multiply
    13,615.32x = 20,384.02 × 9,224.98
  4. Step 4: Simplify right side
    13,615.32x = 188,042,176.82
  5. Step 5: Solve for x
    x = 188,042,176.82/13,615.32
  6. Step 6: Final answer
    x = 13,811.07

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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.