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Finding the Fourth Proportional to 27,922, 38,532.36 and 15,346.75

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Solution

The fourth proportional to 27,922, 38,532.36 and 15,346.75 is: 21,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922 : 38,532.36 = 15,346.75 : x
  2. Step 2: Convert to fraction form
    27,922/38,532.36 = 15,346.75/x
  3. Step 3: Cross multiply
    27,922x = 38,532.36 × 15,346.75
  4. Step 4: Simplify right side
    27,922x = 591,346,495.83
  5. Step 5: Solve for x
    x = 591,346,495.83/27,922
  6. Step 6: Final answer
    x = 21,178.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.