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Finding the Fourth Proportional to 14,447.46, 21,670.10 and 5,213.46

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Solution

The fourth proportional to 14,447.46, 21,670.10 and 5,213.46 is: 7,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.46 : 21,670.10 = 5,213.46 : x
  2. Step 2: Convert to fraction form
    14,447.46/21,670.10 = 5,213.46/x
  3. Step 3: Cross multiply
    14,447.46x = 21,670.10 × 5,213.46
  4. Step 4: Simplify right side
    14,447.46x = 112,976,199.55
  5. Step 5: Solve for x
    x = 112,976,199.55/14,447.46
  6. Step 6: Final answer
    x = 7,819.80

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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.