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Finding the Fourth Proportional to 26,084.16, 35,996.40 and 14,148

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Solution

The fourth proportional to 26,084.16, 35,996.40 and 14,148 is: 19,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084.16 : 35,996.40 = 14,148 : x
  2. Step 2: Convert to fraction form
    26,084.16/35,996.40 = 14,148/x
  3. Step 3: Cross multiply
    26,084.16x = 35,996.40 × 14,148
  4. Step 4: Simplify right side
    26,084.16x = 509,277,067.20
  5. Step 5: Solve for x
    x = 509,277,067.20/26,084.16
  6. Step 6: Final answer
    x = 19,524.38

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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.