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Finding the Fourth Proportional to 17,814.06, 24,583.46 and 10,157.09

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Solution

The fourth proportional to 17,814.06, 24,583.46 and 10,157.09 is: 14,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.06 : 24,583.46 = 10,157.09 : x
  2. Step 2: Convert to fraction form
    17,814.06/24,583.46 = 10,157.09/x
  3. Step 3: Cross multiply
    17,814.06x = 24,583.46 × 10,157.09
  4. Step 4: Simplify right side
    17,814.06x = 249,696,242.03
  5. Step 5: Solve for x
    x = 249,696,242.03/17,814.06
  6. Step 6: Final answer
    x = 14,016.81

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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.