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Finding the Fourth Proportional to 10,923.20, 16,341.60 and 9,478.40

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Solution

The fourth proportional to 10,923.20, 16,341.60 and 9,478.40 is: 14,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.20 : 16,341.60 = 9,478.40 : x
  2. Step 2: Convert to fraction form
    10,923.20/16,341.60 = 9,478.40/x
  3. Step 3: Cross multiply
    10,923.20x = 16,341.60 × 9,478.40
  4. Step 4: Simplify right side
    10,923.20x = 154,892,221.44
  5. Step 5: Solve for x
    x = 154,892,221.44/10,923.20
  6. Step 6: Final answer
    x = 14,180.11

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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.