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Finding the Fourth Proportional to 14,213.17, 21,319.82 and 9,285.13

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Solution

The fourth proportional to 14,213.17, 21,319.82 and 9,285.13 is: 13,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.17 : 21,319.82 = 9,285.13 : x
  2. Step 2: Convert to fraction form
    14,213.17/21,319.82 = 9,285.13/x
  3. Step 3: Cross multiply
    14,213.17x = 21,319.82 × 9,285.13
  4. Step 4: Simplify right side
    14,213.17x = 197,957,253.85
  5. Step 5: Solve for x
    x = 197,957,253.85/14,213.17
  6. Step 6: Final answer
    x = 13,927.73

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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.