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Finding the Fourth Proportional to 27,829.98, 38,386.10 and 17,213.31

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Solution

The fourth proportional to 27,829.98, 38,386.10 and 17,213.31 is: 23,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.98 : 38,386.10 = 17,213.31 : x
  2. Step 2: Convert to fraction form
    27,829.98/38,386.10 = 17,213.31/x
  3. Step 3: Cross multiply
    27,829.98x = 38,386.10 × 17,213.31
  4. Step 4: Simplify right side
    27,829.98x = 660,751,882.02
  5. Step 5: Solve for x
    x = 660,751,882.02/27,829.98
  6. Step 6: Final answer
    x = 23,742.45

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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.