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Finding the Fourth Proportional to 23,160, 31,961.40 and 14,082.33

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Solution

The fourth proportional to 23,160, 31,961.40 and 14,082.33 is: 19,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,160 : 31,961.40 = 14,082.33 : x
  2. Step 2: Convert to fraction form
    23,160/31,961.40 = 14,082.33/x
  3. Step 3: Cross multiply
    23,160x = 31,961.40 × 14,082.33
  4. Step 4: Simplify right side
    23,160x = 450,090,982.06
  5. Step 5: Solve for x
    x = 450,090,982.06/23,160
  6. Step 6: Final answer
    x = 19,433.98

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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.