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Finding the Fourth Proportional to 23,053.75, 31,814.91 and 12,982.34

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Solution

The fourth proportional to 23,053.75, 31,814.91 and 12,982.34 is: 17,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.75 : 31,814.91 = 12,982.34 : x
  2. Step 2: Convert to fraction form
    23,053.75/31,814.91 = 12,982.34/x
  3. Step 3: Cross multiply
    23,053.75x = 31,814.91 × 12,982.34
  4. Step 4: Simplify right side
    23,053.75x = 413,032,058.23
  5. Step 5: Solve for x
    x = 413,032,058.23/23,053.75
  6. Step 6: Final answer
    x = 17,916.05

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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.