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Finding the Fourth Proportional to 20,847.40, 28,769.88 and 11,416.12

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Solution

The fourth proportional to 20,847.40, 28,769.88 and 11,416.12 is: 15,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847.40 : 28,769.88 = 11,416.12 : x
  2. Step 2: Convert to fraction form
    20,847.40/28,769.88 = 11,416.12/x
  3. Step 3: Cross multiply
    20,847.40x = 28,769.88 × 11,416.12
  4. Step 4: Simplify right side
    20,847.40x = 328,440,402.47
  5. Step 5: Solve for x
    x = 328,440,402.47/20,847.40
  6. Step 6: Final answer
    x = 15,754.50

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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.