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Finding the Fourth Proportional to 15,513.81, 21,409.20 and 9,224.97

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Solution

The fourth proportional to 15,513.81, 21,409.20 and 9,224.97 is: 12,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.81 : 21,409.20 = 9,224.97 : x
  2. Step 2: Convert to fraction form
    15,513.81/21,409.20 = 9,224.97/x
  3. Step 3: Cross multiply
    15,513.81x = 21,409.20 × 9,224.97
  4. Step 4: Simplify right side
    15,513.81x = 197,499,250.79
  5. Step 5: Solve for x
    x = 197,499,250.79/15,513.81
  6. Step 6: Final answer
    x = 12,730.54

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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.