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Finding the Fourth Proportional to 23,053.42, 31,816.74 and 12,983.82

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Solution

The fourth proportional to 23,053.42, 31,816.74 and 12,983.82 is: 17,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.42 : 31,816.74 = 12,983.82 : x
  2. Step 2: Convert to fraction form
    23,053.42/31,816.74 = 12,983.82/x
  3. Step 3: Cross multiply
    23,053.42x = 31,816.74 × 12,983.82
  4. Step 4: Simplify right side
    23,053.42x = 413,102,825.15
  5. Step 5: Solve for x
    x = 413,102,825.15/23,053.42
  6. Step 6: Final answer
    x = 17,919.37

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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.