Home / 20,264.08-30,397.20-6,412

Finding the Fourth Proportional to 20,264.08, 30,397.20 and 6,412

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Solution

The fourth proportional to 20,264.08, 30,397.20 and 6,412 is: 9,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.08 : 30,397.20 = 6,412 : x
  2. Step 2: Convert to fraction form
    20,264.08/30,397.20 = 6,412/x
  3. Step 3: Cross multiply
    20,264.08x = 30,397.20 × 6,412
  4. Step 4: Simplify right side
    20,264.08x = 194,906,846.40
  5. Step 5: Solve for x
    x = 194,906,846.40/20,264.08
  6. Step 6: Final answer
    x = 9,618.34

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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.