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Finding the Fourth Proportional to 17,219.50, 23,762.92 and 9,767.50

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Solution

The fourth proportional to 17,219.50, 23,762.92 and 9,767.50 is: 13,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.50 : 23,762.92 = 9,767.50 : x
  2. Step 2: Convert to fraction form
    17,219.50/23,762.92 = 9,767.50/x
  3. Step 3: Cross multiply
    17,219.50x = 23,762.92 × 9,767.50
  4. Step 4: Simplify right side
    17,219.50x = 232,104,321.10
  5. Step 5: Solve for x
    x = 232,104,321.10/17,219.50
  6. Step 6: Final answer
    x = 13,479.16

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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.