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Finding the Fourth Proportional to 14,557.64, 21,841.07 and 5,197.43

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Solution

The fourth proportional to 14,557.64, 21,841.07 and 5,197.43 is: 7,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.64 : 21,841.07 = 5,197.43 : x
  2. Step 2: Convert to fraction form
    14,557.64/21,841.07 = 5,197.43/x
  3. Step 3: Cross multiply
    14,557.64x = 21,841.07 × 5,197.43
  4. Step 4: Simplify right side
    14,557.64x = 113,517,461.07
  5. Step 5: Solve for x
    x = 113,517,461.07/14,557.64
  6. Step 6: Final answer
    x = 7,797.80

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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.