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Finding the Fourth Proportional to 26,969.33, 40,454 and 9,444.17

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Solution

The fourth proportional to 26,969.33, 40,454 and 9,444.17 is: 14,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,969.33 : 40,454 = 9,444.17 : x
  2. Step 2: Convert to fraction form
    26,969.33/40,454 = 9,444.17/x
  3. Step 3: Cross multiply
    26,969.33x = 40,454 × 9,444.17
  4. Step 4: Simplify right side
    26,969.33x = 382,054,453.18
  5. Step 5: Solve for x
    x = 382,054,453.18/26,969.33
  6. Step 6: Final answer
    x = 14,166.26

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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.