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Finding the Fourth Proportional to 13,030.49, 17,981.43 and 8,255.54

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Solution

The fourth proportional to 13,030.49, 17,981.43 and 8,255.54 is: 11,392.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.49 : 17,981.43 = 8,255.54 : x
  2. Step 2: Convert to fraction form
    13,030.49/17,981.43 = 8,255.54/x
  3. Step 3: Cross multiply
    13,030.49x = 17,981.43 × 8,255.54
  4. Step 4: Simplify right side
    13,030.49x = 148,446,324.72
  5. Step 5: Solve for x
    x = 148,446,324.72/13,030.49
  6. Step 6: Final answer
    x = 11,392.23

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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.