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Finding the Fourth Proportional to 21,306.10, 31,930.35 and 18,829.30

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Solution

The fourth proportional to 21,306.10, 31,930.35 and 18,829.30 is: 28,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.10 : 31,930.35 = 18,829.30 : x
  2. Step 2: Convert to fraction form
    21,306.10/31,930.35 = 18,829.30/x
  3. Step 3: Cross multiply
    21,306.10x = 31,930.35 × 18,829.30
  4. Step 4: Simplify right side
    21,306.10x = 601,226,139.26
  5. Step 5: Solve for x
    x = 601,226,139.26/21,306.10
  6. Step 6: Final answer
    x = 28,218.50

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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.