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Finding the Fourth Proportional to 23,053.37, 31,814.21 and 12,982.16

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Solution

The fourth proportional to 23,053.37, 31,814.21 and 12,982.16 is: 17,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.37 : 31,814.21 = 12,982.16 : x
  2. Step 2: Convert to fraction form
    23,053.37/31,814.21 = 12,982.16/x
  3. Step 3: Cross multiply
    23,053.37x = 31,814.21 × 12,982.16
  4. Step 4: Simplify right side
    23,053.37x = 413,017,276.48
  5. Step 5: Solve for x
    x = 413,017,276.48/23,053.37
  6. Step 6: Final answer
    x = 17,915.70

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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.