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Finding the Fourth Proportional to 10,157.58, 15,194.25 and 9,535.50

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Solution

The fourth proportional to 10,157.58, 15,194.25 and 9,535.50 is: 14,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.58 : 15,194.25 = 9,535.50 : x
  2. Step 2: Convert to fraction form
    10,157.58/15,194.25 = 9,535.50/x
  3. Step 3: Cross multiply
    10,157.58x = 15,194.25 × 9,535.50
  4. Step 4: Simplify right side
    10,157.58x = 144,884,770.88
  5. Step 5: Solve for x
    x = 144,884,770.88/10,157.58
  6. Step 6: Final answer
    x = 14,263.71

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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.