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Finding the Fourth Proportional to 30,339.75, 41,869.06 and 16,911.86

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Solution

The fourth proportional to 30,339.75, 41,869.06 and 16,911.86 is: 23,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,339.75 : 41,869.06 = 16,911.86 : x
  2. Step 2: Convert to fraction form
    30,339.75/41,869.06 = 16,911.86/x
  3. Step 3: Cross multiply
    30,339.75x = 41,869.06 × 16,911.86
  4. Step 4: Simplify right side
    30,339.75x = 708,083,681.05
  5. Step 5: Solve for x
    x = 708,083,681.05/30,339.75
  6. Step 6: Final answer
    x = 23,338.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.