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Finding the Fourth Proportional to 17,492.82, 24,139.38 and 9,534.87

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Solution

The fourth proportional to 17,492.82, 24,139.38 and 9,534.87 is: 13,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,492.82 : 24,139.38 = 9,534.87 : x
  2. Step 2: Convert to fraction form
    17,492.82/24,139.38 = 9,534.87/x
  3. Step 3: Cross multiply
    17,492.82x = 24,139.38 × 9,534.87
  4. Step 4: Simplify right side
    17,492.82x = 230,165,850.18
  5. Step 5: Solve for x
    x = 230,165,850.18/17,492.82
  6. Step 6: Final answer
    x = 13,157.73

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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.