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Finding the Fourth Proportional to 20,782.86, 28,671.21 and 12,394.50

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Solution

The fourth proportional to 20,782.86, 28,671.21 and 12,394.50 is: 17,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.86 : 28,671.21 = 12,394.50 : x
  2. Step 2: Convert to fraction form
    20,782.86/28,671.21 = 12,394.50/x
  3. Step 3: Cross multiply
    20,782.86x = 28,671.21 × 12,394.50
  4. Step 4: Simplify right side
    20,782.86x = 355,365,312.35
  5. Step 5: Solve for x
    x = 355,365,312.35/20,782.86
  6. Step 6: Final answer
    x = 17,098.96

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