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Finding the Fourth Proportional to 14,954.91, 22,431.45 and 6,189.60

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Solution

The fourth proportional to 14,954.91, 22,431.45 and 6,189.60 is: 9,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954.91 : 22,431.45 = 6,189.60 : x
  2. Step 2: Convert to fraction form
    14,954.91/22,431.45 = 6,189.60/x
  3. Step 3: Cross multiply
    14,954.91x = 22,431.45 × 6,189.60
  4. Step 4: Simplify right side
    14,954.91x = 138,841,702.92
  5. Step 5: Solve for x
    x = 138,841,702.92/14,954.91
  6. Step 6: Final answer
    x = 9,284.02

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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.