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Finding the Fourth Proportional to 28,296, 42,444 and 15,984.96

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Solution

The fourth proportional to 28,296, 42,444 and 15,984.96 is: 23,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,296 : 42,444 = 15,984.96 : x
  2. Step 2: Convert to fraction form
    28,296/42,444 = 15,984.96/x
  3. Step 3: Cross multiply
    28,296x = 42,444 × 15,984.96
  4. Step 4: Simplify right side
    28,296x = 678,465,642.24
  5. Step 5: Solve for x
    x = 678,465,642.24/28,296
  6. Step 6: Final answer
    x = 23,977.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.