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Finding the Fourth Proportional to 19,684.65, 29,531.63 and 7,839.10

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Solution

The fourth proportional to 19,684.65, 29,531.63 and 7,839.10 is: 11,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.65 : 29,531.63 = 7,839.10 : x
  2. Step 2: Convert to fraction form
    19,684.65/29,531.63 = 7,839.10/x
  3. Step 3: Cross multiply
    19,684.65x = 29,531.63 × 7,839.10
  4. Step 4: Simplify right side
    19,684.65x = 231,501,400.73
  5. Step 5: Solve for x
    x = 231,501,400.73/19,684.65
  6. Step 6: Final answer
    x = 11,760.50

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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.