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Finding the Fourth Proportional to 20,252.30, 30,359.96 and 7,097.50

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Solution

The fourth proportional to 20,252.30, 30,359.96 and 7,097.50 is: 10,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252.30 : 30,359.96 = 7,097.50 : x
  2. Step 2: Convert to fraction form
    20,252.30/30,359.96 = 7,097.50/x
  3. Step 3: Cross multiply
    20,252.30x = 30,359.96 × 7,097.50
  4. Step 4: Simplify right side
    20,252.30x = 215,479,799.71
  5. Step 5: Solve for x
    x = 215,479,799.71/20,252.30
  6. Step 6: Final answer
    x = 10,639.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.