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Finding the Fourth Proportional to 17,532, 26,301.12 and 5,222.88

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Solution

The fourth proportional to 17,532, 26,301.12 and 5,222.88 is: 7,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532 : 26,301.12 = 5,222.88 : x
  2. Step 2: Convert to fraction form
    17,532/26,301.12 = 5,222.88/x
  3. Step 3: Cross multiply
    17,532x = 26,301.12 × 5,222.88
  4. Step 4: Simplify right side
    17,532x = 137,367,593.63
  5. Step 5: Solve for x
    x = 137,367,593.63/17,532
  6. Step 6: Final answer
    x = 7,835.25

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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.