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Finding the Fourth Proportional to 27,727.52, 38,222.16 and 21,746.72

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Solution

The fourth proportional to 27,727.52, 38,222.16 and 21,746.72 is: 29,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,727.52 : 38,222.16 = 21,746.72 : x
  2. Step 2: Convert to fraction form
    27,727.52/38,222.16 = 21,746.72/x
  3. Step 3: Cross multiply
    27,727.52x = 38,222.16 × 21,746.72
  4. Step 4: Simplify right side
    27,727.52x = 831,206,611.32
  5. Step 5: Solve for x
    x = 831,206,611.32/27,727.52
  6. Step 6: Final answer
    x = 29,977.68

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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.