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Finding the Fourth Proportional to 20,184.62, 30,279.00 and 7,715.14

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Solution

The fourth proportional to 20,184.62, 30,279.00 and 7,715.14 is: 11,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.62 : 30,279.00 = 7,715.14 : x
  2. Step 2: Convert to fraction form
    20,184.62/30,279.00 = 7,715.14/x
  3. Step 3: Cross multiply
    20,184.62x = 30,279.00 × 7,715.14
  4. Step 4: Simplify right side
    20,184.62x = 233,606,685.48
  5. Step 5: Solve for x
    x = 233,606,685.48/20,184.62
  6. Step 6: Final answer
    x = 11,573.50

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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.