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Finding the Fourth Proportional to 14,263.44, 19,677 and 9,229.30

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Solution

The fourth proportional to 14,263.44, 19,677 and 9,229.30 is: 12,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.44 : 19,677 = 9,229.30 : x
  2. Step 2: Convert to fraction form
    14,263.44/19,677 = 9,229.30/x
  3. Step 3: Cross multiply
    14,263.44x = 19,677 × 9,229.30
  4. Step 4: Simplify right side
    14,263.44x = 181,604,936.10
  5. Step 5: Solve for x
    x = 181,604,936.10/14,263.44
  6. Step 6: Final answer
    x = 12,732.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.