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Finding the Fourth Proportional to 20,642.70, 28,487.58 and 11,690

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Solution

The fourth proportional to 20,642.70, 28,487.58 and 11,690 is: 16,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.70 : 28,487.58 = 11,690 : x
  2. Step 2: Convert to fraction form
    20,642.70/28,487.58 = 11,690/x
  3. Step 3: Cross multiply
    20,642.70x = 28,487.58 × 11,690
  4. Step 4: Simplify right side
    20,642.70x = 333,019,810.20
  5. Step 5: Solve for x
    x = 333,019,810.20/20,642.70
  6. Step 6: Final answer
    x = 16,132.57

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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.