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Finding the Fourth Proportional to 23,055.27, 31,816.86 and 12,984.09

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Solution

The fourth proportional to 23,055.27, 31,816.86 and 12,984.09 is: 17,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,055.27 : 31,816.86 = 12,984.09 : x
  2. Step 2: Convert to fraction form
    23,055.27/31,816.86 = 12,984.09/x
  3. Step 3: Cross multiply
    23,055.27x = 31,816.86 × 12,984.09
  4. Step 4: Simplify right side
    23,055.27x = 413,112,973.76
  5. Step 5: Solve for x
    x = 413,112,973.76/23,055.27
  6. Step 6: Final answer
    x = 17,918.38

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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.