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Finding the Fourth Proportional to 12,174.06, 16,792.47 and 7,450.14

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Solution

The fourth proportional to 12,174.06, 16,792.47 and 7,450.14 is: 10,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.06 : 16,792.47 = 7,450.14 : x
  2. Step 2: Convert to fraction form
    12,174.06/16,792.47 = 7,450.14/x
  3. Step 3: Cross multiply
    12,174.06x = 16,792.47 × 7,450.14
  4. Step 4: Simplify right side
    12,174.06x = 125,106,252.45
  5. Step 5: Solve for x
    x = 125,106,252.45/12,174.06
  6. Step 6: Final answer
    x = 10,276.46

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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.