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Finding the Fourth Proportional to 20,322, 28,044.72 and 11,938.32

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Solution

The fourth proportional to 20,322, 28,044.72 and 11,938.32 is: 16,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322 : 28,044.72 = 11,938.32 : x
  2. Step 2: Convert to fraction form
    20,322/28,044.72 = 11,938.32/x
  3. Step 3: Cross multiply
    20,322x = 28,044.72 × 11,938.32
  4. Step 4: Simplify right side
    20,322x = 334,806,841.67
  5. Step 5: Solve for x
    x = 334,806,841.67/20,322
  6. Step 6: Final answer
    x = 16,475.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.