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Finding the Fourth Proportional to 17,977.86, 24,810.03 and 10,021.77

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Solution

The fourth proportional to 17,977.86, 24,810.03 and 10,021.77 is: 13,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.86 : 24,810.03 = 10,021.77 : x
  2. Step 2: Convert to fraction form
    17,977.86/24,810.03 = 10,021.77/x
  3. Step 3: Cross multiply
    17,977.86x = 24,810.03 × 10,021.77
  4. Step 4: Simplify right side
    17,977.86x = 248,640,414.35
  5. Step 5: Solve for x
    x = 248,640,414.35/17,977.86
  6. Step 6: Final answer
    x = 13,830.37

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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.