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Finding the Fourth Proportional to 28,205.90, 42,309.15 and 13,416.31

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Solution

The fourth proportional to 28,205.90, 42,309.15 and 13,416.31 is: 20,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.90 : 42,309.15 = 13,416.31 : x
  2. Step 2: Convert to fraction form
    28,205.90/42,309.15 = 13,416.31/x
  3. Step 3: Cross multiply
    28,205.90x = 42,309.15 × 13,416.31
  4. Step 4: Simplify right side
    28,205.90x = 567,632,672.24
  5. Step 5: Solve for x
    x = 567,632,672.24/28,205.90
  6. Step 6: Final answer
    x = 20,124.61

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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.