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Finding the Fourth Proportional to 10,955.20, 16,465.20 and 9,529.60

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Solution

The fourth proportional to 10,955.20, 16,465.20 and 9,529.60 is: 14,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.20 : 16,465.20 = 9,529.60 : x
  2. Step 2: Convert to fraction form
    10,955.20/16,465.20 = 9,529.60/x
  3. Step 3: Cross multiply
    10,955.20x = 16,465.20 × 9,529.60
  4. Step 4: Simplify right side
    10,955.20x = 156,906,769.92
  5. Step 5: Solve for x
    x = 156,906,769.92/10,955.20
  6. Step 6: Final answer
    x = 14,322.58

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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.