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Finding the Fourth Proportional to 12,123.34, 16,735.60 and 9,428.46

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Solution

The fourth proportional to 12,123.34, 16,735.60 and 9,428.46 is: 13,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.34 : 16,735.60 = 9,428.46 : x
  2. Step 2: Convert to fraction form
    12,123.34/16,735.60 = 9,428.46/x
  3. Step 3: Cross multiply
    12,123.34x = 16,735.60 × 9,428.46
  4. Step 4: Simplify right side
    12,123.34x = 157,790,935.18
  5. Step 5: Solve for x
    x = 157,790,935.18/12,123.34
  6. Step 6: Final answer
    x = 13,015.47

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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.