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Finding the Fourth Proportional to 13,698.06, 18,903.24 and 7,410.42

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Solution

The fourth proportional to 13,698.06, 18,903.24 and 7,410.42 is: 10,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.06 : 18,903.24 = 7,410.42 : x
  2. Step 2: Convert to fraction form
    13,698.06/18,903.24 = 7,410.42/x
  3. Step 3: Cross multiply
    13,698.06x = 18,903.24 × 7,410.42
  4. Step 4: Simplify right side
    13,698.06x = 140,080,947.76
  5. Step 5: Solve for x
    x = 140,080,947.76/13,698.06
  6. Step 6: Final answer
    x = 10,226.33

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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.