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Finding the Fourth Proportional to 20,730.87, 31,068.50 and 11,356.74

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Solution

The fourth proportional to 20,730.87, 31,068.50 and 11,356.74 is: 17,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.87 : 31,068.50 = 11,356.74 : x
  2. Step 2: Convert to fraction form
    20,730.87/31,068.50 = 11,356.74/x
  3. Step 3: Cross multiply
    20,730.87x = 31,068.50 × 11,356.74
  4. Step 4: Simplify right side
    20,730.87x = 352,836,819.91
  5. Step 5: Solve for x
    x = 352,836,819.91/20,730.87
  6. Step 6: Final answer
    x = 17,019.88

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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.