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Finding the Fourth Proportional to 19,584.65, 29,416.77 and 17,296.50

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Solution

The fourth proportional to 19,584.65, 29,416.77 and 17,296.50 is: 25,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,584.65 : 29,416.77 = 17,296.50 : x
  2. Step 2: Convert to fraction form
    19,584.65/29,416.77 = 17,296.50/x
  3. Step 3: Cross multiply
    19,584.65x = 29,416.77 × 17,296.50
  4. Step 4: Simplify right side
    19,584.65x = 508,807,272.62
  5. Step 5: Solve for x
    x = 508,807,272.62/19,584.65
  6. Step 6: Final answer
    x = 25,979.90

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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.