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Finding the Fourth Proportional to 20,354.49, 30,528.68 and 11,924.87

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Solution

The fourth proportional to 20,354.49, 30,528.68 and 11,924.87 is: 17,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354.49 : 30,528.68 = 11,924.87 : x
  2. Step 2: Convert to fraction form
    20,354.49/30,528.68 = 11,924.87/x
  3. Step 3: Cross multiply
    20,354.49x = 30,528.68 × 11,924.87
  4. Step 4: Simplify right side
    20,354.49x = 364,050,328.00
  5. Step 5: Solve for x
    x = 364,050,328.00/20,354.49
  6. Step 6: Final answer
    x = 17,885.50

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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.