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Finding the Fourth Proportional to 27,797.17, 41,700.93 and 9,787.22

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Solution

The fourth proportional to 27,797.17, 41,700.93 and 9,787.22 is: 14,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.17 : 41,700.93 = 9,787.22 : x
  2. Step 2: Convert to fraction form
    27,797.17/41,700.93 = 9,787.22/x
  3. Step 3: Cross multiply
    27,797.17x = 41,700.93 × 9,787.22
  4. Step 4: Simplify right side
    27,797.17x = 408,136,176.11
  5. Step 5: Solve for x
    x = 408,136,176.11/27,797.17
  6. Step 6: Final answer
    x = 14,682.65

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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.