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Finding the Fourth Proportional to 19,543.84, 29,286.88 and 11,638.24

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Solution

The fourth proportional to 19,543.84, 29,286.88 and 11,638.24 is: 17,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,543.84 : 29,286.88 = 11,638.24 : x
  2. Step 2: Convert to fraction form
    19,543.84/29,286.88 = 11,638.24/x
  3. Step 3: Cross multiply
    19,543.84x = 29,286.88 × 11,638.24
  4. Step 4: Simplify right side
    19,543.84x = 340,847,738.29
  5. Step 5: Solve for x
    x = 340,847,738.29/19,543.84
  6. Step 6: Final answer
    x = 17,440.16

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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.