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Finding the Fourth Proportional to 12,822.50, 17,668.77 and 9,459.98

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Solution

The fourth proportional to 12,822.50, 17,668.77 and 9,459.98 is: 13,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.50 : 17,668.77 = 9,459.98 : x
  2. Step 2: Convert to fraction form
    12,822.50/17,668.77 = 9,459.98/x
  3. Step 3: Cross multiply
    12,822.50x = 17,668.77 × 9,459.98
  4. Step 4: Simplify right side
    12,822.50x = 167,146,122.48
  5. Step 5: Solve for x
    x = 167,146,122.48/12,822.50
  6. Step 6: Final answer
    x = 13,035.38

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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.