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Finding the Fourth Proportional to 21,474.46, 29,648.04 and 14,314.46

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Solution

The fourth proportional to 21,474.46, 29,648.04 and 14,314.46 is: 19,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,474.46 : 29,648.04 = 14,314.46 : x
  2. Step 2: Convert to fraction form
    21,474.46/29,648.04 = 14,314.46/x
  3. Step 3: Cross multiply
    21,474.46x = 29,648.04 × 14,314.46
  4. Step 4: Simplify right side
    21,474.46x = 424,395,682.66
  5. Step 5: Solve for x
    x = 424,395,682.66/21,474.46
  6. Step 6: Final answer
    x = 19,762.82

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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.