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Finding the Fourth Proportional to 17,851.14, 24,634.14 and 10,297.46

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Solution

The fourth proportional to 17,851.14, 24,634.14 and 10,297.46 is: 14,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.14 : 24,634.14 = 10,297.46 : x
  2. Step 2: Convert to fraction form
    17,851.14/24,634.14 = 10,297.46/x
  3. Step 3: Cross multiply
    17,851.14x = 24,634.14 × 10,297.46
  4. Step 4: Simplify right side
    17,851.14x = 253,669,071.28
  5. Step 5: Solve for x
    x = 253,669,071.28/17,851.14
  6. Step 6: Final answer
    x = 14,210.24

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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.