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Finding the Fourth Proportional to 28,616.96, 42,900 and 10,835.24

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Solution

The fourth proportional to 28,616.96, 42,900 and 10,835.24 is: 16,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,616.96 : 42,900 = 10,835.24 : x
  2. Step 2: Convert to fraction form
    28,616.96/42,900 = 10,835.24/x
  3. Step 3: Cross multiply
    28,616.96x = 42,900 × 10,835.24
  4. Step 4: Simplify right side
    28,616.96x = 464,831,796
  5. Step 5: Solve for x
    x = 464,831,796/28,616.96
  6. Step 6: Final answer
    x = 16,243.23

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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.