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Finding the Fourth Proportional to 13,189.52, 18,203.69 and 7,887.47

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Solution

The fourth proportional to 13,189.52, 18,203.69 and 7,887.47 is: 10,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.52 : 18,203.69 = 7,887.47 : x
  2. Step 2: Convert to fraction form
    13,189.52/18,203.69 = 7,887.47/x
  3. Step 3: Cross multiply
    13,189.52x = 18,203.69 × 7,887.47
  4. Step 4: Simplify right side
    13,189.52x = 143,580,928.31
  5. Step 5: Solve for x
    x = 143,580,928.31/13,189.52
  6. Step 6: Final answer
    x = 10,885.99

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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.