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Finding the Fourth Proportional to 13,519.76, 18,649.64 and 9,533.95

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Solution

The fourth proportional to 13,519.76, 18,649.64 and 9,533.95 is: 13,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.76 : 18,649.64 = 9,533.95 : x
  2. Step 2: Convert to fraction form
    13,519.76/18,649.64 = 9,533.95/x
  3. Step 3: Cross multiply
    13,519.76x = 18,649.64 × 9,533.95
  4. Step 4: Simplify right side
    13,519.76x = 177,804,817.39
  5. Step 5: Solve for x
    x = 177,804,817.39/13,519.76
  6. Step 6: Final answer
    x = 13,151.48

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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.