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Finding the Fourth Proportional to 11,824.65, 17,720.28 and 6,561.99

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Solution

The fourth proportional to 11,824.65, 17,720.28 and 6,561.99 is: 9,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.65 : 17,720.28 = 6,561.99 : x
  2. Step 2: Convert to fraction form
    11,824.65/17,720.28 = 6,561.99/x
  3. Step 3: Cross multiply
    11,824.65x = 17,720.28 × 6,561.99
  4. Step 4: Simplify right side
    11,824.65x = 116,280,300.16
  5. Step 5: Solve for x
    x = 116,280,300.16/11,824.65
  6. Step 6: Final answer
    x = 9,833.72

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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.