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Finding the Fourth Proportional to 19,900.34, 27,461.73 and 10,947.26

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Solution

The fourth proportional to 19,900.34, 27,461.73 and 10,947.26 is: 15,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900.34 : 27,461.73 = 10,947.26 : x
  2. Step 2: Convert to fraction form
    19,900.34/27,461.73 = 10,947.26/x
  3. Step 3: Cross multiply
    19,900.34x = 27,461.73 × 10,947.26
  4. Step 4: Simplify right side
    19,900.34x = 300,630,698.36
  5. Step 5: Solve for x
    x = 300,630,698.36/19,900.34
  6. Step 6: Final answer
    x = 15,106.81

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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.