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Finding the Fourth Proportional to 20,658.48, 30,979.50 and 7,503.66

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Solution

The fourth proportional to 20,658.48, 30,979.50 and 7,503.66 is: 11,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.48 : 30,979.50 = 7,503.66 : x
  2. Step 2: Convert to fraction form
    20,658.48/30,979.50 = 7,503.66/x
  3. Step 3: Cross multiply
    20,658.48x = 30,979.50 × 7,503.66
  4. Step 4: Simplify right side
    20,658.48x = 232,459,634.97
  5. Step 5: Solve for x
    x = 232,459,634.97/20,658.48
  6. Step 6: Final answer
    x = 11,252.50

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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.