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Finding the Fourth Proportional to 17,176.16, 25,722.88 and 9,762.48

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Solution

The fourth proportional to 17,176.16, 25,722.88 and 9,762.48 is: 14,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176.16 : 25,722.88 = 9,762.48 : x
  2. Step 2: Convert to fraction form
    17,176.16/25,722.88 = 9,762.48/x
  3. Step 3: Cross multiply
    17,176.16x = 25,722.88 × 9,762.48
  4. Step 4: Simplify right side
    17,176.16x = 251,119,101.54
  5. Step 5: Solve for x
    x = 251,119,101.54/17,176.16
  6. Step 6: Final answer
    x = 14,620.21

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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.