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Finding the Fourth Proportional to 21,213.94, 29,264.16 and 14,405.56

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Solution

The fourth proportional to 21,213.94, 29,264.16 and 14,405.56 is: 19,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213.94 : 29,264.16 = 14,405.56 : x
  2. Step 2: Convert to fraction form
    21,213.94/29,264.16 = 14,405.56/x
  3. Step 3: Cross multiply
    21,213.94x = 29,264.16 × 14,405.56
  4. Step 4: Simplify right side
    21,213.94x = 421,566,612.73
  5. Step 5: Solve for x
    x = 421,566,612.73/21,213.94
  6. Step 6: Final answer
    x = 19,872.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.