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Finding the Fourth Proportional to 14,508.73, 21,763.09 and 9,577.21

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Solution

The fourth proportional to 14,508.73, 21,763.09 and 9,577.21 is: 14,365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.73 : 21,763.09 = 9,577.21 : x
  2. Step 2: Convert to fraction form
    14,508.73/21,763.09 = 9,577.21/x
  3. Step 3: Cross multiply
    14,508.73x = 21,763.09 × 9,577.21
  4. Step 4: Simplify right side
    14,508.73x = 208,429,635.29
  5. Step 5: Solve for x
    x = 208,429,635.29/14,508.73
  6. Step 6: Final answer
    x = 14,365.81

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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.