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Finding the Fourth Proportional to 15,095.25, 20,830.53 and 8,380.38

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Solution

The fourth proportional to 15,095.25, 20,830.53 and 8,380.38 is: 11,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,095.25 : 20,830.53 = 8,380.38 : x
  2. Step 2: Convert to fraction form
    15,095.25/20,830.53 = 8,380.38/x
  3. Step 3: Cross multiply
    15,095.25x = 20,830.53 × 8,380.38
  4. Step 4: Simplify right side
    15,095.25x = 174,567,757.00
  5. Step 5: Solve for x
    x = 174,567,757.00/15,095.25
  6. Step 6: Final answer
    x = 11,564.42

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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.