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Finding the Fourth Proportional to 17,980.74, 24,813.81 and 10,023.75

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Solution

The fourth proportional to 17,980.74, 24,813.81 and 10,023.75 is: 13,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.74 : 24,813.81 = 10,023.75 : x
  2. Step 2: Convert to fraction form
    17,980.74/24,813.81 = 10,023.75/x
  3. Step 3: Cross multiply
    17,980.74x = 24,813.81 × 10,023.75
  4. Step 4: Simplify right side
    17,980.74x = 248,727,427.99
  5. Step 5: Solve for x
    x = 248,727,427.99/17,980.74
  6. Step 6: Final answer
    x = 13,832.99

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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.