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Finding the Fourth Proportional to 12,129, 16,738.20 and 7,412.28

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Solution

The fourth proportional to 12,129, 16,738.20 and 7,412.28 is: 10,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129 : 16,738.20 = 7,412.28 : x
  2. Step 2: Convert to fraction form
    12,129/16,738.20 = 7,412.28/x
  3. Step 3: Cross multiply
    12,129x = 16,738.20 × 7,412.28
  4. Step 4: Simplify right side
    12,129x = 124,068,225.10
  5. Step 5: Solve for x
    x = 124,068,225.10/12,129
  6. Step 6: Final answer
    x = 10,229.06

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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.