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Finding the Fourth Proportional to 23,107.74, 31,888.69 and 12,497.38

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Solution

The fourth proportional to 23,107.74, 31,888.69 and 12,497.38 is: 17,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.74 : 31,888.69 = 12,497.38 : x
  2. Step 2: Convert to fraction form
    23,107.74/31,888.69 = 12,497.38/x
  3. Step 3: Cross multiply
    23,107.74x = 31,888.69 × 12,497.38
  4. Step 4: Simplify right side
    23,107.74x = 398,525,076.63
  5. Step 5: Solve for x
    x = 398,525,076.63/23,107.74
  6. Step 6: Final answer
    x = 17,246.39

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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.