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Finding the Fourth Proportional to 12,326.32, 18,502.64 and 5,309.81

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Solution

The fourth proportional to 12,326.32, 18,502.64 and 5,309.81 is: 7,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.32 : 18,502.64 = 5,309.81 : x
  2. Step 2: Convert to fraction form
    12,326.32/18,502.64 = 5,309.81/x
  3. Step 3: Cross multiply
    12,326.32x = 18,502.64 × 5,309.81
  4. Step 4: Simplify right side
    12,326.32x = 98,245,562.43
  5. Step 5: Solve for x
    x = 98,245,562.43/12,326.32
  6. Step 6: Final answer
    x = 7,970.39

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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.