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Finding the Fourth Proportional to 27,949.68, 38,574 and 16,015.68

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Solution

The fourth proportional to 27,949.68, 38,574 and 16,015.68 is: 22,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,949.68 : 38,574 = 16,015.68 : x
  2. Step 2: Convert to fraction form
    27,949.68/38,574 = 16,015.68/x
  3. Step 3: Cross multiply
    27,949.68x = 38,574 × 16,015.68
  4. Step 4: Simplify right side
    27,949.68x = 617,788,840.32
  5. Step 5: Solve for x
    x = 617,788,840.32/27,949.68
  6. Step 6: Final answer
    x = 22,103.61

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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.