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Finding the Fourth Proportional to 18,670.92, 28,008 and 6,827.94

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Solution

The fourth proportional to 18,670.92, 28,008 and 6,827.94 is: 10,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,670.92 : 28,008 = 6,827.94 : x
  2. Step 2: Convert to fraction form
    18,670.92/28,008 = 6,827.94/x
  3. Step 3: Cross multiply
    18,670.92x = 28,008 × 6,827.94
  4. Step 4: Simplify right side
    18,670.92x = 191,236,943.52
  5. Step 5: Solve for x
    x = 191,236,943.52/18,670.92
  6. Step 6: Final answer
    x = 10,242.50

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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.