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Finding the Fourth Proportional to 12,128, 16,736.82 and 7,411.28

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Solution

The fourth proportional to 12,128, 16,736.82 and 7,411.28 is: 10,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128 : 16,736.82 = 7,411.28 : x
  2. Step 2: Convert to fraction form
    12,128/16,736.82 = 7,411.28/x
  3. Step 3: Cross multiply
    12,128x = 16,736.82 × 7,411.28
  4. Step 4: Simplify right side
    12,128x = 124,041,259.33
  5. Step 5: Solve for x
    x = 124,041,259.33/12,128
  6. Step 6: Final answer
    x = 10,227.68

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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.