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Finding the Fourth Proportional to 10,968, 16,459.56 and 9,505.68

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Solution

The fourth proportional to 10,968, 16,459.56 and 9,505.68 is: 14,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968 : 16,459.56 = 9,505.68 : x
  2. Step 2: Convert to fraction form
    10,968/16,459.56 = 9,505.68/x
  3. Step 3: Cross multiply
    10,968x = 16,459.56 × 9,505.68
  4. Step 4: Simplify right side
    10,968x = 156,459,310.30
  5. Step 5: Solve for x
    x = 156,459,310.30/10,968
  6. Step 6: Final answer
    x = 14,265.07

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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.