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Finding the Fourth Proportional to 11,154.77, 16,699.27 and 9,770.81

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Solution

The fourth proportional to 11,154.77, 16,699.27 and 9,770.81 is: 14,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.77 : 16,699.27 = 9,770.81 : x
  2. Step 2: Convert to fraction form
    11,154.77/16,699.27 = 9,770.81/x
  3. Step 3: Cross multiply
    11,154.77x = 16,699.27 × 9,770.81
  4. Step 4: Simplify right side
    11,154.77x = 163,165,310.81
  5. Step 5: Solve for x
    x = 163,165,310.81/11,154.77
  6. Step 6: Final answer
    x = 14,627.41

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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.