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Finding the Fourth Proportional to 10,931.20, 16,429.20 and 9,505.60

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Solution

The fourth proportional to 10,931.20, 16,429.20 and 9,505.60 is: 14,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.20 : 16,429.20 = 9,505.60 : x
  2. Step 2: Convert to fraction form
    10,931.20/16,429.20 = 9,505.60/x
  3. Step 3: Cross multiply
    10,931.20x = 16,429.20 × 9,505.60
  4. Step 4: Simplify right side
    10,931.20x = 156,169,403.52
  5. Step 5: Solve for x
    x = 156,169,403.52/10,931.20
  6. Step 6: Final answer
    x = 14,286.57

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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.