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Finding the Fourth Proportional to 19,344.49, 29,007.16 and 6,862.64

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Solution

The fourth proportional to 19,344.49, 29,007.16 and 6,862.64 is: 10,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,344.49 : 29,007.16 = 6,862.64 : x
  2. Step 2: Convert to fraction form
    19,344.49/29,007.16 = 6,862.64/x
  3. Step 3: Cross multiply
    19,344.49x = 29,007.16 × 6,862.64
  4. Step 4: Simplify right side
    19,344.49x = 199,065,751.86
  5. Step 5: Solve for x
    x = 199,065,751.86/19,344.49
  6. Step 6: Final answer
    x = 10,290.57

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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.