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Finding the Fourth Proportional to 17,584, 26,374.63 and 7,723.36

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Solution

The fourth proportional to 17,584, 26,374.63 and 7,723.36 is: 11,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584 : 26,374.63 = 7,723.36 : x
  2. Step 2: Convert to fraction form
    17,584/26,374.63 = 7,723.36/x
  3. Step 3: Cross multiply
    17,584x = 26,374.63 × 7,723.36
  4. Step 4: Simplify right side
    17,584x = 203,700,762.36
  5. Step 5: Solve for x
    x = 203,700,762.36/17,584
  6. Step 6: Final answer
    x = 11,584.44

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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.