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Finding the Fourth Proportional to 20,293.61, 30,424.21 and 10,293.14

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Solution

The fourth proportional to 20,293.61, 30,424.21 and 10,293.14 is: 15,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,293.61 : 30,424.21 = 10,293.14 : x
  2. Step 2: Convert to fraction form
    20,293.61/30,424.21 = 10,293.14/x
  3. Step 3: Cross multiply
    20,293.61x = 30,424.21 × 10,293.14
  4. Step 4: Simplify right side
    20,293.61x = 313,160,703.25
  5. Step 5: Solve for x
    x = 313,160,703.25/20,293.61
  6. Step 6: Final answer
    x = 15,431.50

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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.