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Finding the Fourth Proportional to 12,321.69, 18,477.07 and 7,641.51

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Solution

The fourth proportional to 12,321.69, 18,477.07 and 7,641.51 is: 11,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.69 : 18,477.07 = 7,641.51 : x
  2. Step 2: Convert to fraction form
    12,321.69/18,477.07 = 7,641.51/x
  3. Step 3: Cross multiply
    12,321.69x = 18,477.07 × 7,641.51
  4. Step 4: Simplify right side
    12,321.69x = 141,192,836.41
  5. Step 5: Solve for x
    x = 141,192,836.41/12,321.69
  6. Step 6: Final answer
    x = 11,458.88

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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.