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Finding the Fourth Proportional to 11,998.56, 16,533.72 and 9,293.46

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Solution

The fourth proportional to 11,998.56, 16,533.72 and 9,293.46 is: 12,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.56 : 16,533.72 = 9,293.46 : x
  2. Step 2: Convert to fraction form
    11,998.56/16,533.72 = 9,293.46/x
  3. Step 3: Cross multiply
    11,998.56x = 16,533.72 × 9,293.46
  4. Step 4: Simplify right side
    11,998.56x = 153,655,465.47
  5. Step 5: Solve for x
    x = 153,655,465.47/11,998.56
  6. Step 6: Final answer
    x = 12,806.16

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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.