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Finding the Fourth Proportional to 15,090.69, 20,825.76 and 8,284.98

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Solution

The fourth proportional to 15,090.69, 20,825.76 and 8,284.98 is: 11,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.69 : 20,825.76 = 8,284.98 : x
  2. Step 2: Convert to fraction form
    15,090.69/20,825.76 = 8,284.98/x
  3. Step 3: Cross multiply
    15,090.69x = 20,825.76 × 8,284.98
  4. Step 4: Simplify right side
    15,090.69x = 172,541,005.08
  5. Step 5: Solve for x
    x = 172,541,005.08/15,090.69
  6. Step 6: Final answer
    x = 11,433.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.