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Finding the Fourth Proportional to 14,549.21, 21,833.38 and 7,980

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Solution

The fourth proportional to 14,549.21, 21,833.38 and 7,980 is: 11,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.21 : 21,833.38 = 7,980 : x
  2. Step 2: Convert to fraction form
    14,549.21/21,833.38 = 7,980/x
  3. Step 3: Cross multiply
    14,549.21x = 21,833.38 × 7,980
  4. Step 4: Simplify right side
    14,549.21x = 174,230,372.40
  5. Step 5: Solve for x
    x = 174,230,372.40/14,549.21
  6. Step 6: Final answer
    x = 11,975.25

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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.