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Finding the Fourth Proportional to 25,913.50, 35,760.31 and 14,583.02

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Solution

The fourth proportional to 25,913.50, 35,760.31 and 14,583.02 is: 20,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,913.50 : 35,760.31 = 14,583.02 : x
  2. Step 2: Convert to fraction form
    25,913.50/35,760.31 = 14,583.02/x
  3. Step 3: Cross multiply
    25,913.50x = 35,760.31 × 14,583.02
  4. Step 4: Simplify right side
    25,913.50x = 521,493,100.68
  5. Step 5: Solve for x
    x = 521,493,100.68/25,913.50
  6. Step 6: Final answer
    x = 20,124.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.