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Finding the Fourth Proportional to 14,964.86, 22,445.13 and 4,573.82

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Solution

The fourth proportional to 14,964.86, 22,445.13 and 4,573.82 is: 6,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964.86 : 22,445.13 = 4,573.82 : x
  2. Step 2: Convert to fraction form
    14,964.86/22,445.13 = 4,573.82/x
  3. Step 3: Cross multiply
    14,964.86x = 22,445.13 × 4,573.82
  4. Step 4: Simplify right side
    14,964.86x = 102,659,984.50
  5. Step 5: Solve for x
    x = 102,659,984.50/14,964.86
  6. Step 6: Final answer
    x = 6,860.07

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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.