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Finding the Fourth Proportional to 12,182.13, 18,274.59 and 6,643.58

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Solution

The fourth proportional to 12,182.13, 18,274.59 and 6,643.58 is: 9,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.13 : 18,274.59 = 6,643.58 : x
  2. Step 2: Convert to fraction form
    12,182.13/18,274.59 = 6,643.58/x
  3. Step 3: Cross multiply
    12,182.13x = 18,274.59 × 6,643.58
  4. Step 4: Simplify right side
    12,182.13x = 121,408,609.26
  5. Step 5: Solve for x
    x = 121,408,609.26/12,182.13
  6. Step 6: Final answer
    x = 9,966.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.