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Finding the Fourth Proportional to 20,394.16, 30,594.24 and 7,245.40

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Solution

The fourth proportional to 20,394.16, 30,594.24 and 7,245.40 is: 10,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394.16 : 30,594.24 = 7,245.40 : x
  2. Step 2: Convert to fraction form
    20,394.16/30,594.24 = 7,245.40/x
  3. Step 3: Cross multiply
    20,394.16x = 30,594.24 × 7,245.40
  4. Step 4: Simplify right side
    20,394.16x = 221,667,506.50
  5. Step 5: Solve for x
    x = 221,667,506.50/20,394.16
  6. Step 6: Final answer
    x = 10,869.17

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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.