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Finding the Fourth Proportional to 14,921.36, 22,382.02 and 7,106.48

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Solution

The fourth proportional to 14,921.36, 22,382.02 and 7,106.48 is: 10,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.36 : 22,382.02 = 7,106.48 : x
  2. Step 2: Convert to fraction form
    14,921.36/22,382.02 = 7,106.48/x
  3. Step 3: Cross multiply
    14,921.36x = 22,382.02 × 7,106.48
  4. Step 4: Simplify right side
    14,921.36x = 159,057,377.49
  5. Step 5: Solve for x
    x = 159,057,377.49/14,921.36
  6. Step 6: Final answer
    x = 10,659.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.