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Finding the Fourth Proportional to 12,057.32, 18,088.74 and 4,661.84

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Solution

The fourth proportional to 12,057.32, 18,088.74 and 4,661.84 is: 6,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.32 : 18,088.74 = 4,661.84 : x
  2. Step 2: Convert to fraction form
    12,057.32/18,088.74 = 4,661.84/x
  3. Step 3: Cross multiply
    12,057.32x = 18,088.74 × 4,661.84
  4. Step 4: Simplify right side
    12,057.32x = 84,326,811.68
  5. Step 5: Solve for x
    x = 84,326,811.68/12,057.32
  6. Step 6: Final answer
    x = 6,993.83

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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.