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Finding the Fourth Proportional to 23,059, 31,809.39 and 14,558.07

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Solution

The fourth proportional to 23,059, 31,809.39 and 14,558.07 is: 20,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,059 : 31,809.39 = 14,558.07 : x
  2. Step 2: Convert to fraction form
    23,059/31,809.39 = 14,558.07/x
  3. Step 3: Cross multiply
    23,059x = 31,809.39 × 14,558.07
  4. Step 4: Simplify right side
    23,059x = 463,083,094.44
  5. Step 5: Solve for x
    x = 463,083,094.44/23,059
  6. Step 6: Final answer
    x = 20,082.53

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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.