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Finding the Fourth Proportional to 17,980.58, 24,814.04 and 10,022.85

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Solution

The fourth proportional to 17,980.58, 24,814.04 and 10,022.85 is: 13,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.58 : 24,814.04 = 10,022.85 : x
  2. Step 2: Convert to fraction form
    17,980.58/24,814.04 = 10,022.85/x
  3. Step 3: Cross multiply
    17,980.58x = 24,814.04 × 10,022.85
  4. Step 4: Simplify right side
    17,980.58x = 248,707,350.70
  5. Step 5: Solve for x
    x = 248,707,350.70/17,980.58
  6. Step 6: Final answer
    x = 13,832.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.