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Finding the Fourth Proportional to 14,100.92, 19,458.24 and 7,726.49

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Solution

The fourth proportional to 14,100.92, 19,458.24 and 7,726.49 is: 10,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.92 : 19,458.24 = 7,726.49 : x
  2. Step 2: Convert to fraction form
    14,100.92/19,458.24 = 7,726.49/x
  3. Step 3: Cross multiply
    14,100.92x = 19,458.24 × 7,726.49
  4. Step 4: Simplify right side
    14,100.92x = 150,343,799.49
  5. Step 5: Solve for x
    x = 150,343,799.49/14,100.92
  6. Step 6: Final answer
    x = 10,661.99

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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.