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Finding the Fourth Proportional to 12,153.28, 16,779.27 and 9,920.46

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Solution

The fourth proportional to 12,153.28, 16,779.27 and 9,920.46 is: 13,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.28 : 16,779.27 = 9,920.46 : x
  2. Step 2: Convert to fraction form
    12,153.28/16,779.27 = 9,920.46/x
  3. Step 3: Cross multiply
    12,153.28x = 16,779.27 × 9,920.46
  4. Step 4: Simplify right side
    12,153.28x = 166,458,076.86
  5. Step 5: Solve for x
    x = 166,458,076.86/12,153.28
  6. Step 6: Final answer
    x = 13,696.56

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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.