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Finding the Fourth Proportional to 17,459.20, 24,093.92 and 9,501.64

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Solution

The fourth proportional to 17,459.20, 24,093.92 and 9,501.64 is: 13,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,459.20 : 24,093.92 = 9,501.64 : x
  2. Step 2: Convert to fraction form
    17,459.20/24,093.92 = 9,501.64/x
  3. Step 3: Cross multiply
    17,459.20x = 24,093.92 × 9,501.64
  4. Step 4: Simplify right side
    17,459.20x = 228,931,754.03
  5. Step 5: Solve for x
    x = 228,931,754.03/17,459.20
  6. Step 6: Final answer
    x = 13,112.39

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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.