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Finding the Fourth Proportional to 10,820.20, 16,230.30 and 9,580.90

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Solution

The fourth proportional to 10,820.20, 16,230.30 and 9,580.90 is: 14,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.20 : 16,230.30 = 9,580.90 : x
  2. Step 2: Convert to fraction form
    10,820.20/16,230.30 = 9,580.90/x
  3. Step 3: Cross multiply
    10,820.20x = 16,230.30 × 9,580.90
  4. Step 4: Simplify right side
    10,820.20x = 155,500,881.27
  5. Step 5: Solve for x
    x = 155,500,881.27/10,820.20
  6. Step 6: Final answer
    x = 14,371.35

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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.