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Finding the Fourth Proportional to 19,820.13, 29,730.19 and 5,969.13

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Solution

The fourth proportional to 19,820.13, 29,730.19 and 5,969.13 is: 8,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.13 : 29,730.19 = 5,969.13 : x
  2. Step 2: Convert to fraction form
    19,820.13/29,730.19 = 5,969.13/x
  3. Step 3: Cross multiply
    19,820.13x = 29,730.19 × 5,969.13
  4. Step 4: Simplify right side
    19,820.13x = 177,463,369.03
  5. Step 5: Solve for x
    x = 177,463,369.03/19,820.13
  6. Step 6: Final answer
    x = 8,953.69

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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.