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Finding the Fourth Proportional to 28,184.28, 38,905.28 and 16,257.84

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Solution

The fourth proportional to 28,184.28, 38,905.28 and 16,257.84 is: 22,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,184.28 : 38,905.28 = 16,257.84 : x
  2. Step 2: Convert to fraction form
    28,184.28/38,905.28 = 16,257.84/x
  3. Step 3: Cross multiply
    28,184.28x = 38,905.28 × 16,257.84
  4. Step 4: Simplify right side
    28,184.28x = 632,515,817.40
  5. Step 5: Solve for x
    x = 632,515,817.40/28,184.28
  6. Step 6: Final answer
    x = 22,442.15

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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.