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Finding the Fourth Proportional to 13,460.48, 18,593.28 and 11,229.76

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Solution

The fourth proportional to 13,460.48, 18,593.28 and 11,229.76 is: 15,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.48 : 18,593.28 = 11,229.76 : x
  2. Step 2: Convert to fraction form
    13,460.48/18,593.28 = 11,229.76/x
  3. Step 3: Cross multiply
    13,460.48x = 18,593.28 × 11,229.76
  4. Step 4: Simplify right side
    13,460.48x = 208,798,072.01
  5. Step 5: Solve for x
    x = 208,798,072.01/13,460.48
  6. Step 6: Final answer
    x = 15,511.93

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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.