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Finding the Fourth Proportional to 14,213.43, 21,307.98 and 5,454.63

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Solution

The fourth proportional to 14,213.43, 21,307.98 and 5,454.63 is: 8,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.43 : 21,307.98 = 5,454.63 : x
  2. Step 2: Convert to fraction form
    14,213.43/21,307.98 = 5,454.63/x
  3. Step 3: Cross multiply
    14,213.43x = 21,307.98 × 5,454.63
  4. Step 4: Simplify right side
    14,213.43x = 116,227,146.95
  5. Step 5: Solve for x
    x = 116,227,146.95/14,213.43
  6. Step 6: Final answer
    x = 8,177.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.