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Finding the Fourth Proportional to 20,157.56, 27,829.86 and 12,990

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Solution

The fourth proportional to 20,157.56, 27,829.86 and 12,990 is: 17,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.56 : 27,829.86 = 12,990 : x
  2. Step 2: Convert to fraction form
    20,157.56/27,829.86 = 12,990/x
  3. Step 3: Cross multiply
    20,157.56x = 27,829.86 × 12,990
  4. Step 4: Simplify right side
    20,157.56x = 361,509,881.40
  5. Step 5: Solve for x
    x = 361,509,881.40/20,157.56
  6. Step 6: Final answer
    x = 17,934.21

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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.