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Finding the Fourth Proportional to 20,173.92, 30,260.88 and 6,324

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Solution

The fourth proportional to 20,173.92, 30,260.88 and 6,324 is: 9,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.92 : 30,260.88 = 6,324 : x
  2. Step 2: Convert to fraction form
    20,173.92/30,260.88 = 6,324/x
  3. Step 3: Cross multiply
    20,173.92x = 30,260.88 × 6,324
  4. Step 4: Simplify right side
    20,173.92x = 191,369,805.12
  5. Step 5: Solve for x
    x = 191,369,805.12/20,173.92
  6. Step 6: Final answer
    x = 9,486.00

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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.