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Finding the Fourth Proportional to 27,830.98, 38,387.48 and 17,214.31

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Solution

The fourth proportional to 27,830.98, 38,387.48 and 17,214.31 is: 23,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.98 : 38,387.48 = 17,214.31 : x
  2. Step 2: Convert to fraction form
    27,830.98/38,387.48 = 17,214.31/x
  3. Step 3: Cross multiply
    27,830.98x = 38,387.48 × 17,214.31
  4. Step 4: Simplify right side
    27,830.98x = 660,813,980.84
  5. Step 5: Solve for x
    x = 660,813,980.84/27,830.98
  6. Step 6: Final answer
    x = 23,743.83

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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.