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Finding the Fourth Proportional to 10,583.01, 14,674.29 and 10,231.74

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Solution

The fourth proportional to 10,583.01, 14,674.29 and 10,231.74 is: 14,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.01 : 14,674.29 = 10,231.74 : x
  2. Step 2: Convert to fraction form
    10,583.01/14,674.29 = 10,231.74/x
  3. Step 3: Cross multiply
    10,583.01x = 14,674.29 × 10,231.74
  4. Step 4: Simplify right side
    10,583.01x = 150,143,519.96
  5. Step 5: Solve for x
    x = 150,143,519.96/10,583.01
  6. Step 6: Final answer
    x = 14,187.22

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.