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Finding the Fourth Proportional to 14,754.03, 20,359.80 and 8,466

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Solution

The fourth proportional to 14,754.03, 20,359.80 and 8,466 is: 11,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,754.03 : 20,359.80 = 8,466 : x
  2. Step 2: Convert to fraction form
    14,754.03/20,359.80 = 8,466/x
  3. Step 3: Cross multiply
    14,754.03x = 20,359.80 × 8,466
  4. Step 4: Simplify right side
    14,754.03x = 172,366,066.80
  5. Step 5: Solve for x
    x = 172,366,066.80/14,754.03
  6. Step 6: Final answer
    x = 11,682.64

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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.