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Finding the Fourth Proportional to 13,829.73, 19,084.40 and 8,461.11

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Solution

The fourth proportional to 13,829.73, 19,084.40 and 8,461.11 is: 11,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.73 : 19,084.40 = 8,461.11 : x
  2. Step 2: Convert to fraction form
    13,829.73/19,084.40 = 8,461.11/x
  3. Step 3: Cross multiply
    13,829.73x = 19,084.40 × 8,461.11
  4. Step 4: Simplify right side
    13,829.73x = 161,475,165.38
  5. Step 5: Solve for x
    x = 161,475,165.38/13,829.73
  6. Step 6: Final answer
    x = 11,675.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.