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Finding the Fourth Proportional to 22,980.29, 34,461.93 and 8,185.28

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Solution

The fourth proportional to 22,980.29, 34,461.93 and 8,185.28 is: 12,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.29 : 34,461.93 = 8,185.28 : x
  2. Step 2: Convert to fraction form
    22,980.29/34,461.93 = 8,185.28/x
  3. Step 3: Cross multiply
    22,980.29x = 34,461.93 × 8,185.28
  4. Step 4: Simplify right side
    22,980.29x = 282,080,546.39
  5. Step 5: Solve for x
    x = 282,080,546.39/22,980.29
  6. Step 6: Final answer
    x = 12,274.89

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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.