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Finding the Fourth Proportional to 21,780.63, 30,052.63 and 12,824.86

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Solution

The fourth proportional to 21,780.63, 30,052.63 and 12,824.86 is: 17,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.63 : 30,052.63 = 12,824.86 : x
  2. Step 2: Convert to fraction form
    21,780.63/30,052.63 = 12,824.86/x
  3. Step 3: Cross multiply
    21,780.63x = 30,052.63 × 12,824.86
  4. Step 4: Simplify right side
    21,780.63x = 385,420,772.38
  5. Step 5: Solve for x
    x = 385,420,772.38/21,780.63
  6. Step 6: Final answer
    x = 17,695.58

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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.