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Finding the Fourth Proportional to 12,428.02, 17,141.99 and 8,442.21

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Solution

The fourth proportional to 12,428.02, 17,141.99 and 8,442.21 is: 11,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.02 : 17,141.99 = 8,442.21 : x
  2. Step 2: Convert to fraction form
    12,428.02/17,141.99 = 8,442.21/x
  3. Step 3: Cross multiply
    12,428.02x = 17,141.99 × 8,442.21
  4. Step 4: Simplify right side
    12,428.02x = 144,716,279.40
  5. Step 5: Solve for x
    x = 144,716,279.40/12,428.02
  6. Step 6: Final answer
    x = 11,644.36

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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.