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Finding the Fourth Proportional to 17,977.96, 24,810.43 and 10,020.24

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Solution

The fourth proportional to 17,977.96, 24,810.43 and 10,020.24 is: 13,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.96 : 24,810.43 = 10,020.24 : x
  2. Step 2: Convert to fraction form
    17,977.96/24,810.43 = 10,020.24/x
  3. Step 3: Cross multiply
    17,977.96x = 24,810.43 × 10,020.24
  4. Step 4: Simplify right side
    17,977.96x = 248,606,488.15
  5. Step 5: Solve for x
    x = 248,606,488.15/17,977.96
  6. Step 6: Final answer
    x = 13,828.41

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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.