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Finding the Fourth Proportional to 13,151.93, 18,150.09 and 7,184.15

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Solution

The fourth proportional to 13,151.93, 18,150.09 and 7,184.15 is: 9,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.93 : 18,150.09 = 7,184.15 : x
  2. Step 2: Convert to fraction form
    13,151.93/18,150.09 = 7,184.15/x
  3. Step 3: Cross multiply
    13,151.93x = 18,150.09 × 7,184.15
  4. Step 4: Simplify right side
    13,151.93x = 130,392,959.86
  5. Step 5: Solve for x
    x = 130,392,959.86/13,151.93
  6. Step 6: Final answer
    x = 9,914.36

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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.