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Finding the Fourth Proportional to 12,148.28, 16,764.72 and 6,842.60

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Solution

The fourth proportional to 12,148.28, 16,764.72 and 6,842.60 is: 9,442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.28 : 16,764.72 = 6,842.60 : x
  2. Step 2: Convert to fraction form
    12,148.28/16,764.72 = 6,842.60/x
  3. Step 3: Cross multiply
    12,148.28x = 16,764.72 × 6,842.60
  4. Step 4: Simplify right side
    12,148.28x = 114,714,273.07
  5. Step 5: Solve for x
    x = 114,714,273.07/12,148.28
  6. Step 6: Final answer
    x = 9,442.84

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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.