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Finding the Fourth Proportional to 11,154.77, 16,752.96 and 9,821.04

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Solution

The fourth proportional to 11,154.77, 16,752.96 and 9,821.04 is: 14,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.77 : 16,752.96 = 9,821.04 : x
  2. Step 2: Convert to fraction form
    11,154.77/16,752.96 = 9,821.04/x
  3. Step 3: Cross multiply
    11,154.77x = 16,752.96 × 9,821.04
  4. Step 4: Simplify right side
    11,154.77x = 164,531,357.41
  5. Step 5: Solve for x
    x = 164,531,357.41/11,154.77
  6. Step 6: Final answer
    x = 14,749.87

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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.