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Finding the Fourth Proportional to 17,283.12, 25,928.46 and 5,597.52

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Solution

The fourth proportional to 17,283.12, 25,928.46 and 5,597.52 is: 8,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.12 : 25,928.46 = 5,597.52 : x
  2. Step 2: Convert to fraction form
    17,283.12/25,928.46 = 5,597.52/x
  3. Step 3: Cross multiply
    17,283.12x = 25,928.46 × 5,597.52
  4. Step 4: Simplify right side
    17,283.12x = 145,135,073.42
  5. Step 5: Solve for x
    x = 145,135,073.42/17,283.12
  6. Step 6: Final answer
    x = 8,397.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.