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Finding the Fourth Proportional to 27,804.56, 38,370.12 and 15,057.60

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Solution

The fourth proportional to 27,804.56, 38,370.12 and 15,057.60 is: 20,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.56 : 38,370.12 = 15,057.60 : x
  2. Step 2: Convert to fraction form
    27,804.56/38,370.12 = 15,057.60/x
  3. Step 3: Cross multiply
    27,804.56x = 38,370.12 × 15,057.60
  4. Step 4: Simplify right side
    27,804.56x = 577,761,918.91
  5. Step 5: Solve for x
    x = 577,761,918.91/27,804.56
  6. Step 6: Final answer
    x = 20,779.39

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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.