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Finding the Fourth Proportional to 19,409.46, 29,121.57 and 7,730.88

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Solution

The fourth proportional to 19,409.46, 29,121.57 and 7,730.88 is: 11,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.46 : 29,121.57 = 7,730.88 : x
  2. Step 2: Convert to fraction form
    19,409.46/29,121.57 = 7,730.88/x
  3. Step 3: Cross multiply
    19,409.46x = 29,121.57 × 7,730.88
  4. Step 4: Simplify right side
    19,409.46x = 225,135,363.08
  5. Step 5: Solve for x
    x = 225,135,363.08/19,409.46
  6. Step 6: Final answer
    x = 11,599.26

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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.