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Finding the Fourth Proportional to 21,778.29, 30,043.80 and 12,820.05

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Solution

The fourth proportional to 21,778.29, 30,043.80 and 12,820.05 is: 17,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.29 : 30,043.80 = 12,820.05 : x
  2. Step 2: Convert to fraction form
    21,778.29/30,043.80 = 12,820.05/x
  3. Step 3: Cross multiply
    21,778.29x = 30,043.80 × 12,820.05
  4. Step 4: Simplify right side
    21,778.29x = 385,163,018.19
  5. Step 5: Solve for x
    x = 385,163,018.19/21,778.29
  6. Step 6: Final answer
    x = 17,685.64

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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.