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Finding the Fourth Proportional to 14,051.64, 19,388.46 and 8,463

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Solution

The fourth proportional to 14,051.64, 19,388.46 and 8,463 is: 11,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.64 : 19,388.46 = 8,463 : x
  2. Step 2: Convert to fraction form
    14,051.64/19,388.46 = 8,463/x
  3. Step 3: Cross multiply
    14,051.64x = 19,388.46 × 8,463
  4. Step 4: Simplify right side
    14,051.64x = 164,084,536.98
  5. Step 5: Solve for x
    x = 164,084,536.98/14,051.64
  6. Step 6: Final answer
    x = 11,677.25

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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.