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Finding the Fourth Proportional to 14,551.84, 20,080.47 and 8,263

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Solution

The fourth proportional to 14,551.84, 20,080.47 and 8,263 is: 11,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.84 : 20,080.47 = 8,263 : x
  2. Step 2: Convert to fraction form
    14,551.84/20,080.47 = 8,263/x
  3. Step 3: Cross multiply
    14,551.84x = 20,080.47 × 8,263
  4. Step 4: Simplify right side
    14,551.84x = 165,924,923.61
  5. Step 5: Solve for x
    x = 165,924,923.61/14,551.84
  6. Step 6: Final answer
    x = 11,402.33

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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.