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Finding the Fourth Proportional to 12,804.57, 17,671.82 and 7,140.24

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Solution

The fourth proportional to 12,804.57, 17,671.82 and 7,140.24 is: 9,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.57 : 17,671.82 = 7,140.24 : x
  2. Step 2: Convert to fraction form
    12,804.57/17,671.82 = 7,140.24/x
  3. Step 3: Cross multiply
    12,804.57x = 17,671.82 × 7,140.24
  4. Step 4: Simplify right side
    12,804.57x = 126,181,000.34
  5. Step 5: Solve for x
    x = 126,181,000.34/12,804.57
  6. Step 6: Final answer
    x = 9,854.37

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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.