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Finding the Fourth Proportional to 17,980.31, 24,811.88 and 10,022.36

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Solution

The fourth proportional to 17,980.31, 24,811.88 and 10,022.36 is: 13,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.31 : 24,811.88 = 10,022.36 : x
  2. Step 2: Convert to fraction form
    17,980.31/24,811.88 = 10,022.36/x
  3. Step 3: Cross multiply
    17,980.31x = 24,811.88 × 10,022.36
  4. Step 4: Simplify right side
    17,980.31x = 248,673,419.47
  5. Step 5: Solve for x
    x = 248,673,419.47/17,980.31
  6. Step 6: Final answer
    x = 13,830.32

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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.