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Finding the Fourth Proportional to 20,969.74, 31,457.85 and 7,115.50

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Solution

The fourth proportional to 20,969.74, 31,457.85 and 7,115.50 is: 10,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.74 : 31,457.85 = 7,115.50 : x
  2. Step 2: Convert to fraction form
    20,969.74/31,457.85 = 7,115.50/x
  3. Step 3: Cross multiply
    20,969.74x = 31,457.85 × 7,115.50
  4. Step 4: Simplify right side
    20,969.74x = 223,838,331.68
  5. Step 5: Solve for x
    x = 223,838,331.68/20,969.74
  6. Step 6: Final answer
    x = 10,674.35

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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.