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Finding the Fourth Proportional to 25,343.30, 34,978.50 and 14,734.46

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Solution

The fourth proportional to 25,343.30, 34,978.50 and 14,734.46 is: 20,336.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,343.30 : 34,978.50 = 14,734.46 : x
  2. Step 2: Convert to fraction form
    25,343.30/34,978.50 = 14,734.46/x
  3. Step 3: Cross multiply
    25,343.30x = 34,978.50 × 14,734.46
  4. Step 4: Simplify right side
    25,343.30x = 515,389,309.11
  5. Step 5: Solve for x
    x = 515,389,309.11/25,343.30
  6. Step 6: Final answer
    x = 20,336.31

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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.