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Finding the Fourth Proportional to 17,980.41, 24,813.29 and 10,021.78

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Solution

The fourth proportional to 17,980.41, 24,813.29 and 10,021.78 is: 13,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.41 : 24,813.29 = 10,021.78 : x
  2. Step 2: Convert to fraction form
    17,980.41/24,813.29 = 10,021.78/x
  3. Step 3: Cross multiply
    17,980.41x = 24,813.29 × 10,021.78
  4. Step 4: Simplify right side
    17,980.41x = 248,673,333.46
  5. Step 5: Solve for x
    x = 248,673,333.46/17,980.41
  6. Step 6: Final answer
    x = 13,830.24

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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.