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Finding the Fourth Proportional to 10,499.73, 14,464.27 and 8,821.20

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Solution

The fourth proportional to 10,499.73, 14,464.27 and 8,821.20 is: 12,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.73 : 14,464.27 = 8,821.20 : x
  2. Step 2: Convert to fraction form
    10,499.73/14,464.27 = 8,821.20/x
  3. Step 3: Cross multiply
    10,499.73x = 14,464.27 × 8,821.20
  4. Step 4: Simplify right side
    10,499.73x = 127,592,283.79
  5. Step 5: Solve for x
    x = 127,592,283.79/10,499.73
  6. Step 6: Final answer
    x = 12,151.96

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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.