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Finding the Fourth Proportional to 12,840.54, 17,718.20 and 7,174.58

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Solution

The fourth proportional to 12,840.54, 17,718.20 and 7,174.58 is: 9,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.54 : 17,718.20 = 7,174.58 : x
  2. Step 2: Convert to fraction form
    12,840.54/17,718.20 = 7,174.58/x
  3. Step 3: Cross multiply
    12,840.54x = 17,718.20 × 7,174.58
  4. Step 4: Simplify right side
    12,840.54x = 127,120,572.70
  5. Step 5: Solve for x
    x = 127,120,572.70/12,840.54
  6. Step 6: Final answer
    x = 9,899.94

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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.