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Finding the Fourth Proportional to 12,303.36, 18,455 and 9,826.56

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Solution

The fourth proportional to 12,303.36, 18,455 and 9,826.56 is: 14,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.36 : 18,455 = 9,826.56 : x
  2. Step 2: Convert to fraction form
    12,303.36/18,455 = 9,826.56/x
  3. Step 3: Cross multiply
    12,303.36x = 18,455 × 9,826.56
  4. Step 4: Simplify right side
    12,303.36x = 181,349,164.80
  5. Step 5: Solve for x
    x = 181,349,164.80/12,303.36
  6. Step 6: Final answer
    x = 14,739.81

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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.