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Finding the Fourth Proportional to 28,382.16, 42,573.24 and 15,896.28

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Solution

The fourth proportional to 28,382.16, 42,573.24 and 15,896.28 is: 23,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,382.16 : 42,573.24 = 15,896.28 : x
  2. Step 2: Convert to fraction form
    28,382.16/42,573.24 = 15,896.28/x
  3. Step 3: Cross multiply
    28,382.16x = 42,573.24 × 15,896.28
  4. Step 4: Simplify right side
    28,382.16x = 676,756,143.55
  5. Step 5: Solve for x
    x = 676,756,143.55/28,382.16
  6. Step 6: Final answer
    x = 23,844.42

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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.