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Finding the Fourth Proportional to 28,142.12, 42,221.64 and 8,421.32

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Solution

The fourth proportional to 28,142.12, 42,221.64 and 8,421.32 is: 12,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142.12 : 42,221.64 = 8,421.32 : x
  2. Step 2: Convert to fraction form
    28,142.12/42,221.64 = 8,421.32/x
  3. Step 3: Cross multiply
    28,142.12x = 42,221.64 × 8,421.32
  4. Step 4: Simplify right side
    28,142.12x = 355,561,941.36
  5. Step 5: Solve for x
    x = 355,561,941.36/28,142.12
  6. Step 6: Final answer
    x = 12,634.51

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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.