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Finding the Fourth Proportional to 20,919.50, 31,384.12 and 7,068.50

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Solution

The fourth proportional to 20,919.50, 31,384.12 and 7,068.50 is: 10,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,919.50 : 31,384.12 = 7,068.50 : x
  2. Step 2: Convert to fraction form
    20,919.50/31,384.12 = 7,068.50/x
  3. Step 3: Cross multiply
    20,919.50x = 31,384.12 × 7,068.50
  4. Step 4: Simplify right side
    20,919.50x = 221,838,652.22
  5. Step 5: Solve for x
    x = 221,838,652.22/20,919.50
  6. Step 6: Final answer
    x = 10,604.40

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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.