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Finding the Fourth Proportional to 14,092.53, 21,142.04 and 4,232.00

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Solution

The fourth proportional to 14,092.53, 21,142.04 and 4,232.00 is: 6,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.53 : 21,142.04 = 4,232.00 : x
  2. Step 2: Convert to fraction form
    14,092.53/21,142.04 = 4,232.00/x
  3. Step 3: Cross multiply
    14,092.53x = 21,142.04 × 4,232.00
  4. Step 4: Simplify right side
    14,092.53x = 89,473,060.42
  5. Step 5: Solve for x
    x = 89,473,060.42/14,092.53
  6. Step 6: Final answer
    x = 6,348.97

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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.