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Finding the Fourth Proportional to 17,768.45, 24,520.77 and 9,810.20

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Solution

The fourth proportional to 17,768.45, 24,520.77 and 9,810.20 is: 13,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.45 : 24,520.77 = 9,810.20 : x
  2. Step 2: Convert to fraction form
    17,768.45/24,520.77 = 9,810.20/x
  3. Step 3: Cross multiply
    17,768.45x = 24,520.77 × 9,810.20
  4. Step 4: Simplify right side
    17,768.45x = 240,553,535.25
  5. Step 5: Solve for x
    x = 240,553,535.25/17,768.45
  6. Step 6: Final answer
    x = 13,538.24

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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.