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Finding the Fourth Proportional to 19,703.72, 29,522.16 and 11,896.13

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Solution

The fourth proportional to 19,703.72, 29,522.16 and 11,896.13 is: 17,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.72 : 29,522.16 = 11,896.13 : x
  2. Step 2: Convert to fraction form
    19,703.72/29,522.16 = 11,896.13/x
  3. Step 3: Cross multiply
    19,703.72x = 29,522.16 × 11,896.13
  4. Step 4: Simplify right side
    19,703.72x = 351,199,305.63
  5. Step 5: Solve for x
    x = 351,199,305.63/19,703.72
  6. Step 6: Final answer
    x = 17,824.01

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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.