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Finding the Fourth Proportional to 12,428.46, 17,151.21 and 7,123.14

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Solution

The fourth proportional to 12,428.46, 17,151.21 and 7,123.14 is: 9,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.46 : 17,151.21 = 7,123.14 : x
  2. Step 2: Convert to fraction form
    12,428.46/17,151.21 = 7,123.14/x
  3. Step 3: Cross multiply
    12,428.46x = 17,151.21 × 7,123.14
  4. Step 4: Simplify right side
    12,428.46x = 122,170,470.00
  5. Step 5: Solve for x
    x = 122,170,470.00/12,428.46
  6. Step 6: Final answer
    x = 9,829.90

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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.