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Finding the Fourth Proportional to 14,573.41, 21,873.78 and 6,680.16

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Solution

The fourth proportional to 14,573.41, 21,873.78 and 6,680.16 is: 10,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.41 : 21,873.78 = 6,680.16 : x
  2. Step 2: Convert to fraction form
    14,573.41/21,873.78 = 6,680.16/x
  3. Step 3: Cross multiply
    14,573.41x = 21,873.78 × 6,680.16
  4. Step 4: Simplify right side
    14,573.41x = 146,120,350.20
  5. Step 5: Solve for x
    x = 146,120,350.20/14,573.41
  6. Step 6: Final answer
    x = 10,026.50

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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.