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Finding the Fourth Proportional to 27,801.98, 38,370.46 and 16,470.60

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Solution

The fourth proportional to 27,801.98, 38,370.46 and 16,470.60 is: 22,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.98 : 38,370.46 = 16,470.60 : x
  2. Step 2: Convert to fraction form
    27,801.98/38,370.46 = 16,470.60/x
  3. Step 3: Cross multiply
    27,801.98x = 38,370.46 × 16,470.60
  4. Step 4: Simplify right side
    27,801.98x = 631,984,498.48
  5. Step 5: Solve for x
    x = 631,984,498.48/27,801.98
  6. Step 6: Final answer
    x = 22,731.64

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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.