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Finding the Fourth Proportional to 20,315.10, 30,478.86 and 9,649.56

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Solution

The fourth proportional to 20,315.10, 30,478.86 and 9,649.56 is: 14,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.10 : 30,478.86 = 9,649.56 : x
  2. Step 2: Convert to fraction form
    20,315.10/30,478.86 = 9,649.56/x
  3. Step 3: Cross multiply
    20,315.10x = 30,478.86 × 9,649.56
  4. Step 4: Simplify right side
    20,315.10x = 294,107,588.30
  5. Step 5: Solve for x
    x = 294,107,588.30/20,315.10
  6. Step 6: Final answer
    x = 14,477.29

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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.