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Finding the Fourth Proportional to 13,698.12, 18,903.39 and 7,410.51

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Solution

The fourth proportional to 13,698.12, 18,903.39 and 7,410.51 is: 10,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.12 : 18,903.39 = 7,410.51 : x
  2. Step 2: Convert to fraction form
    13,698.12/18,903.39 = 7,410.51/x
  3. Step 3: Cross multiply
    13,698.12x = 18,903.39 × 7,410.51
  4. Step 4: Simplify right side
    13,698.12x = 140,083,760.63
  5. Step 5: Solve for x
    x = 140,083,760.63/13,698.12
  6. Step 6: Final answer
    x = 10,226.50

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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.