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Finding the Fourth Proportional to 25,932, 35,784.03 and 14,597.88

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Solution

The fourth proportional to 25,932, 35,784.03 and 14,597.88 is: 20,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,932 : 35,784.03 = 14,597.88 : x
  2. Step 2: Convert to fraction form
    25,932/35,784.03 = 14,597.88/x
  3. Step 3: Cross multiply
    25,932x = 35,784.03 × 14,597.88
  4. Step 4: Simplify right side
    25,932x = 522,370,796.94
  5. Step 5: Solve for x
    x = 522,370,796.94/25,932
  6. Step 6: Final answer
    x = 20,143.87

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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.