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Finding the Fourth Proportional to 21,763.96, 30,031.88 and 12,814.28

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Solution

The fourth proportional to 21,763.96, 30,031.88 and 12,814.28 is: 17,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,763.96 : 30,031.88 = 12,814.28 : x
  2. Step 2: Convert to fraction form
    21,763.96/30,031.88 = 12,814.28/x
  3. Step 3: Cross multiply
    21,763.96x = 30,031.88 × 12,814.28
  4. Step 4: Simplify right side
    21,763.96x = 384,836,919.25
  5. Step 5: Solve for x
    x = 384,836,919.25/21,763.96
  6. Step 6: Final answer
    x = 17,682.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.