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Finding the Fourth Proportional to 20,640.16, 30,964.94 and 7,492.52

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Solution

The fourth proportional to 20,640.16, 30,964.94 and 7,492.52 is: 11,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640.16 : 30,964.94 = 7,492.52 : x
  2. Step 2: Convert to fraction form
    20,640.16/30,964.94 = 7,492.52/x
  3. Step 3: Cross multiply
    20,640.16x = 30,964.94 × 7,492.52
  4. Step 4: Simplify right side
    20,640.16x = 232,005,394.79
  5. Step 5: Solve for x
    x = 232,005,394.79/20,640.16
  6. Step 6: Final answer
    x = 11,240.49

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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.