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Finding the Fourth Proportional to 20,746, 28,629.80 and 11,314.80

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Solution

The fourth proportional to 20,746, 28,629.80 and 11,314.80 is: 15,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,746 : 28,629.80 = 11,314.80 : x
  2. Step 2: Convert to fraction form
    20,746/28,629.80 = 11,314.80/x
  3. Step 3: Cross multiply
    20,746x = 28,629.80 × 11,314.80
  4. Step 4: Simplify right side
    20,746x = 323,940,461.04
  5. Step 5: Solve for x
    x = 323,940,461.04/20,746
  6. Step 6: Final answer
    x = 15,614.60

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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.