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Finding the Fourth Proportional to 23,054.34, 31,814.67 and 12,982.90

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Solution

The fourth proportional to 23,054.34, 31,814.67 and 12,982.90 is: 17,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.34 : 31,814.67 = 12,982.90 : x
  2. Step 2: Convert to fraction form
    23,054.34/31,814.67 = 12,982.90/x
  3. Step 3: Cross multiply
    23,054.34x = 31,814.67 × 12,982.90
  4. Step 4: Simplify right side
    23,054.34x = 413,046,679.14
  5. Step 5: Solve for x
    x = 413,046,679.14/23,054.34
  6. Step 6: Final answer
    x = 17,916.22

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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.