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Finding the Fourth Proportional to 19,381.14, 29,071.74 and 5,530.14

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Solution

The fourth proportional to 19,381.14, 29,071.74 and 5,530.14 is: 8,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,381.14 : 29,071.74 = 5,530.14 : x
  2. Step 2: Convert to fraction form
    19,381.14/29,071.74 = 5,530.14/x
  3. Step 3: Cross multiply
    19,381.14x = 29,071.74 × 5,530.14
  4. Step 4: Simplify right side
    19,381.14x = 160,770,792.24
  5. Step 5: Solve for x
    x = 160,770,792.24/19,381.14
  6. Step 6: Final answer
    x = 8,295.22

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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.