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Finding the Fourth Proportional to 12,806.63, 17,671.85 and 7,140.84

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Solution

The fourth proportional to 12,806.63, 17,671.85 and 7,140.84 is: 9,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.63 : 17,671.85 = 7,140.84 : x
  2. Step 2: Convert to fraction form
    12,806.63/17,671.85 = 7,140.84/x
  3. Step 3: Cross multiply
    12,806.63x = 17,671.85 × 7,140.84
  4. Step 4: Simplify right side
    12,806.63x = 126,191,729.29
  5. Step 5: Solve for x
    x = 126,191,729.29/12,806.63
  6. Step 6: Final answer
    x = 9,853.63

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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.