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Finding the Fourth Proportional to 26,971.12, 37,219.28 and 16,905

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Solution

The fourth proportional to 26,971.12, 37,219.28 and 16,905 is: 23,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,971.12 : 37,219.28 = 16,905 : x
  2. Step 2: Convert to fraction form
    26,971.12/37,219.28 = 16,905/x
  3. Step 3: Cross multiply
    26,971.12x = 37,219.28 × 16,905
  4. Step 4: Simplify right side
    26,971.12x = 629,191,928.40
  5. Step 5: Solve for x
    x = 629,191,928.40/26,971.12
  6. Step 6: Final answer
    x = 23,328.36

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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.