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Finding the Fourth Proportional to 25,364.86, 35,004.76 and 14,611.34

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Solution

The fourth proportional to 25,364.86, 35,004.76 and 14,611.34 is: 20,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.86 : 35,004.76 = 14,611.34 : x
  2. Step 2: Convert to fraction form
    25,364.86/35,004.76 = 14,611.34/x
  3. Step 3: Cross multiply
    25,364.86x = 35,004.76 × 14,611.34
  4. Step 4: Simplify right side
    25,364.86x = 511,466,449.98
  5. Step 5: Solve for x
    x = 511,466,449.98/25,364.86
  6. Step 6: Final answer
    x = 20,164.37

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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.