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Finding the Fourth Proportional to 17,649.09, 26,473.64 and 9,841.50

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Solution

The fourth proportional to 17,649.09, 26,473.64 and 9,841.50 is: 14,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.09 : 26,473.64 = 9,841.50 : x
  2. Step 2: Convert to fraction form
    17,649.09/26,473.64 = 9,841.50/x
  3. Step 3: Cross multiply
    17,649.09x = 26,473.64 × 9,841.50
  4. Step 4: Simplify right side
    17,649.09x = 260,540,278.85
  5. Step 5: Solve for x
    x = 260,540,278.85/17,649.09
  6. Step 6: Final answer
    x = 14,762.25

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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.