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Finding the Fourth Proportional to 14,583.96, 21,832.92 and 9,891.72

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Solution

The fourth proportional to 14,583.96, 21,832.92 and 9,891.72 is: 14,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.96 : 21,832.92 = 9,891.72 : x
  2. Step 2: Convert to fraction form
    14,583.96/21,832.92 = 9,891.72/x
  3. Step 3: Cross multiply
    14,583.96x = 21,832.92 × 9,891.72
  4. Step 4: Simplify right side
    14,583.96x = 215,965,131.42
  5. Step 5: Solve for x
    x = 215,965,131.42/14,583.96
  6. Step 6: Final answer
    x = 14,808.40

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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.