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Finding the Fourth Proportional to 17,457.66, 24,092.08 and 9,500.39

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Solution

The fourth proportional to 17,457.66, 24,092.08 and 9,500.39 is: 13,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.66 : 24,092.08 = 9,500.39 : x
  2. Step 2: Convert to fraction form
    17,457.66/24,092.08 = 9,500.39/x
  3. Step 3: Cross multiply
    17,457.66x = 24,092.08 × 9,500.39
  4. Step 4: Simplify right side
    17,457.66x = 228,884,237.56
  5. Step 5: Solve for x
    x = 228,884,237.56/17,457.66
  6. Step 6: Final answer
    x = 13,110.82

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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.