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Finding the Fourth Proportional to 12,057.10, 18,088.80 and 4,661.80

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Solution

The fourth proportional to 12,057.10, 18,088.80 and 4,661.80 is: 6,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.10 : 18,088.80 = 4,661.80 : x
  2. Step 2: Convert to fraction form
    12,057.10/18,088.80 = 4,661.80/x
  3. Step 3: Cross multiply
    12,057.10x = 18,088.80 × 4,661.80
  4. Step 4: Simplify right side
    12,057.10x = 84,326,367.84
  5. Step 5: Solve for x
    x = 84,326,367.84/12,057.10
  6. Step 6: Final answer
    x = 6,993.92

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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.