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Finding the Fourth Proportional to 20,915.40, 28,866.64 and 16,142.28

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Solution

The fourth proportional to 20,915.40, 28,866.64 and 16,142.28 is: 22,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915.40 : 28,866.64 = 16,142.28 : x
  2. Step 2: Convert to fraction form
    20,915.40/28,866.64 = 16,142.28/x
  3. Step 3: Cross multiply
    20,915.40x = 28,866.64 × 16,142.28
  4. Step 4: Simplify right side
    20,915.40x = 465,973,385.54
  5. Step 5: Solve for x
    x = 465,973,385.54/20,915.40
  6. Step 6: Final answer
    x = 22,278.96

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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.