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Finding the Fourth Proportional to 12,096.96, 16,693.60 and 7,128

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Solution

The fourth proportional to 12,096.96, 16,693.60 and 7,128 is: 9,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.96 : 16,693.60 = 7,128 : x
  2. Step 2: Convert to fraction form
    12,096.96/16,693.60 = 7,128/x
  3. Step 3: Cross multiply
    12,096.96x = 16,693.60 × 7,128
  4. Step 4: Simplify right side
    12,096.96x = 118,991,980.80
  5. Step 5: Solve for x
    x = 118,991,980.80/12,096.96
  6. Step 6: Final answer
    x = 9,836.52

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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.