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Finding the Fourth Proportional to 13,184.65, 18,194.77 and 7,134.88

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Solution

The fourth proportional to 13,184.65, 18,194.77 and 7,134.88 is: 9,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.65 : 18,194.77 = 7,134.88 : x
  2. Step 2: Convert to fraction form
    13,184.65/18,194.77 = 7,134.88/x
  3. Step 3: Cross multiply
    13,184.65x = 18,194.77 × 7,134.88
  4. Step 4: Simplify right side
    13,184.65x = 129,817,500.58
  5. Step 5: Solve for x
    x = 129,817,500.58/13,184.65
  6. Step 6: Final answer
    x = 9,846.11

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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.