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Finding the Fourth Proportional to 14,540.76, 21,824.10 and 9,927

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Solution

The fourth proportional to 14,540.76, 21,824.10 and 9,927 is: 14,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.76 : 21,824.10 = 9,927 : x
  2. Step 2: Convert to fraction form
    14,540.76/21,824.10 = 9,927/x
  3. Step 3: Cross multiply
    14,540.76x = 21,824.10 × 9,927
  4. Step 4: Simplify right side
    14,540.76x = 216,647,840.70
  5. Step 5: Solve for x
    x = 216,647,840.70/14,540.76
  6. Step 6: Final answer
    x = 14,899.35

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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.