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Finding the Fourth Proportional to 28,164.48, 38,867.76 and 16,980

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Solution

The fourth proportional to 28,164.48, 38,867.76 and 16,980 is: 23,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,164.48 : 38,867.76 = 16,980 : x
  2. Step 2: Convert to fraction form
    28,164.48/38,867.76 = 16,980/x
  3. Step 3: Cross multiply
    28,164.48x = 38,867.76 × 16,980
  4. Step 4: Simplify right side
    28,164.48x = 659,974,564.80
  5. Step 5: Solve for x
    x = 659,974,564.80/28,164.48
  6. Step 6: Final answer
    x = 23,432.87

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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.