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Finding the Fourth Proportional to 12,048.26, 16,627.83 and 7,575.44

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Solution

The fourth proportional to 12,048.26, 16,627.83 and 7,575.44 is: 10,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.26 : 16,627.83 = 7,575.44 : x
  2. Step 2: Convert to fraction form
    12,048.26/16,627.83 = 7,575.44/x
  3. Step 3: Cross multiply
    12,048.26x = 16,627.83 × 7,575.44
  4. Step 4: Simplify right side
    12,048.26x = 125,963,128.50
  5. Step 5: Solve for x
    x = 125,963,128.50/12,048.26
  6. Step 6: Final answer
    x = 10,454.88

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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.