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Finding the Fourth Proportional to 23,146.84, 31,942.66 and 12,536.50

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Solution

The fourth proportional to 23,146.84, 31,942.66 and 12,536.50 is: 17,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.84 : 31,942.66 = 12,536.50 : x
  2. Step 2: Convert to fraction form
    23,146.84/31,942.66 = 12,536.50/x
  3. Step 3: Cross multiply
    23,146.84x = 31,942.66 × 12,536.50
  4. Step 4: Simplify right side
    23,146.84x = 400,449,157.09
  5. Step 5: Solve for x
    x = 400,449,157.09/23,146.84
  6. Step 6: Final answer
    x = 17,300.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.