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Finding the Fourth Proportional to 17,168.16, 25,752.96 and 6,780

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Solution

The fourth proportional to 17,168.16, 25,752.96 and 6,780 is: 10,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,168.16 : 25,752.96 = 6,780 : x
  2. Step 2: Convert to fraction form
    17,168.16/25,752.96 = 6,780/x
  3. Step 3: Cross multiply
    17,168.16x = 25,752.96 × 6,780
  4. Step 4: Simplify right side
    17,168.16x = 174,605,068.80
  5. Step 5: Solve for x
    x = 174,605,068.80/17,168.16
  6. Step 6: Final answer
    x = 10,170.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.