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Finding the Fourth Proportional to 11,573.69, 17,353.85 and 10,189.81

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Solution

The fourth proportional to 11,573.69, 17,353.85 and 10,189.81 is: 15,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.69 : 17,353.85 = 10,189.81 : x
  2. Step 2: Convert to fraction form
    11,573.69/17,353.85 = 10,189.81/x
  3. Step 3: Cross multiply
    11,573.69x = 17,353.85 × 10,189.81
  4. Step 4: Simplify right side
    11,573.69x = 176,832,416.36
  5. Step 5: Solve for x
    x = 176,832,416.36/11,573.69
  6. Step 6: Final answer
    x = 15,278.82

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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.