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Finding the Fourth Proportional to 28,380.12, 39,164.64 and 15,633

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Solution

The fourth proportional to 28,380.12, 39,164.64 and 15,633 is: 21,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,380.12 : 39,164.64 = 15,633 : x
  2. Step 2: Convert to fraction form
    28,380.12/39,164.64 = 15,633/x
  3. Step 3: Cross multiply
    28,380.12x = 39,164.64 × 15,633
  4. Step 4: Simplify right side
    28,380.12x = 612,260,817.12
  5. Step 5: Solve for x
    x = 612,260,817.12/28,380.12
  6. Step 6: Final answer
    x = 21,573.58

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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.