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Finding the Fourth Proportional to 17,930.97, 26,894.03 and 4,784.06

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Solution

The fourth proportional to 17,930.97, 26,894.03 and 4,784.06 is: 7,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,930.97 : 26,894.03 = 4,784.06 : x
  2. Step 2: Convert to fraction form
    17,930.97/26,894.03 = 4,784.06/x
  3. Step 3: Cross multiply
    17,930.97x = 26,894.03 × 4,784.06
  4. Step 4: Simplify right side
    17,930.97x = 128,662,696.48
  5. Step 5: Solve for x
    x = 128,662,696.48/17,930.97
  6. Step 6: Final answer
    x = 7,175.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.