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Finding the Fourth Proportional to 10,998.66, 16,483.39 and 9,530.94

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Solution

The fourth proportional to 10,998.66, 16,483.39 and 9,530.94 is: 14,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,998.66 : 16,483.39 = 9,530.94 : x
  2. Step 2: Convert to fraction form
    10,998.66/16,483.39 = 9,530.94/x
  3. Step 3: Cross multiply
    10,998.66x = 16,483.39 × 9,530.94
  4. Step 4: Simplify right side
    10,998.66x = 157,102,201.09
  5. Step 5: Solve for x
    x = 157,102,201.09/10,998.66
  6. Step 6: Final answer
    x = 14,283.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.