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Finding the Fourth Proportional to 34,195.94, 51,316.82 and 12,009.40

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Solution

The fourth proportional to 34,195.94, 51,316.82 and 12,009.40 is: 18,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,195.94 : 51,316.82 = 12,009.40 : x
  2. Step 2: Convert to fraction form
    34,195.94/51,316.82 = 12,009.40/x
  3. Step 3: Cross multiply
    34,195.94x = 51,316.82 × 12,009.40
  4. Step 4: Simplify right side
    34,195.94x = 616,284,218.11
  5. Step 5: Solve for x
    x = 616,284,218.11/34,195.94
  6. Step 6: Final answer
    x = 18,022.15

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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.