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Finding the Fourth Proportional to 22,003.64, 33,014.10 and 9,683

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Solution

The fourth proportional to 22,003.64, 33,014.10 and 9,683 is: 14,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,003.64 : 33,014.10 = 9,683 : x
  2. Step 2: Convert to fraction form
    22,003.64/33,014.10 = 9,683/x
  3. Step 3: Cross multiply
    22,003.64x = 33,014.10 × 9,683
  4. Step 4: Simplify right side
    22,003.64x = 319,675,530.30
  5. Step 5: Solve for x
    x = 319,675,530.30/22,003.64
  6. Step 6: Final answer
    x = 14,528.30

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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.