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Finding the Fourth Proportional to 21,000.45, 31,500.68 and 17,829.30

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Solution

The fourth proportional to 21,000.45, 31,500.68 and 17,829.30 is: 26,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.45 : 31,500.68 = 17,829.30 : x
  2. Step 2: Convert to fraction form
    21,000.45/31,500.68 = 17,829.30/x
  3. Step 3: Cross multiply
    21,000.45x = 31,500.68 × 17,829.30
  4. Step 4: Simplify right side
    21,000.45x = 561,634,984.78
  5. Step 5: Solve for x
    x = 561,634,984.78/21,000.45
  6. Step 6: Final answer
    x = 26,743.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.