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Finding the Fourth Proportional to 17,851.63, 24,634.83 and 10,297.98

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Solution

The fourth proportional to 17,851.63, 24,634.83 and 10,297.98 is: 14,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.63 : 24,634.83 = 10,297.98 : x
  2. Step 2: Convert to fraction form
    17,851.63/24,634.83 = 10,297.98/x
  3. Step 3: Cross multiply
    17,851.63x = 24,634.83 × 10,297.98
  4. Step 4: Simplify right side
    17,851.63x = 253,688,986.64
  5. Step 5: Solve for x
    x = 253,688,986.64/17,851.63
  6. Step 6: Final answer
    x = 14,210.97

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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.