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Finding the Fourth Proportional to 14,538.80, 21,817.74 and 7,969.58

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Solution

The fourth proportional to 14,538.80, 21,817.74 and 7,969.58 is: 11,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.80 : 21,817.74 = 7,969.58 : x
  2. Step 2: Convert to fraction form
    14,538.80/21,817.74 = 7,969.58/x
  3. Step 3: Cross multiply
    14,538.80x = 21,817.74 × 7,969.58
  4. Step 4: Simplify right side
    14,538.80x = 173,878,224.35
  5. Step 5: Solve for x
    x = 173,878,224.35/14,538.80
  6. Step 6: Final answer
    x = 11,959.60

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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.