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Finding the Fourth Proportional to 15,717.65, 21,690.32 and 8,644.05

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Solution

The fourth proportional to 15,717.65, 21,690.32 and 8,644.05 is: 11,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.65 : 21,690.32 = 8,644.05 : x
  2. Step 2: Convert to fraction form
    15,717.65/21,690.32 = 8,644.05/x
  3. Step 3: Cross multiply
    15,717.65x = 21,690.32 × 8,644.05
  4. Step 4: Simplify right side
    15,717.65x = 187,492,167.38
  5. Step 5: Solve for x
    x = 187,492,167.38/15,717.65
  6. Step 6: Final answer
    x = 11,928.77

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Why These Related Problems?

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