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Finding the Fourth Proportional to 13,574.70, 18,733.44 and 7,606.23

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Solution

The fourth proportional to 13,574.70, 18,733.44 and 7,606.23 is: 10,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.70 : 18,733.44 = 7,606.23 : x
  2. Step 2: Convert to fraction form
    13,574.70/18,733.44 = 7,606.23/x
  3. Step 3: Cross multiply
    13,574.70x = 18,733.44 × 7,606.23
  4. Step 4: Simplify right side
    13,574.70x = 142,490,853.33
  5. Step 5: Solve for x
    x = 142,490,853.33/13,574.70
  6. Step 6: Final answer
    x = 10,496.80

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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.