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Finding the Fourth Proportional to 13,829.74, 19,084.39 and 8,461.10

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Solution

The fourth proportional to 13,829.74, 19,084.39 and 8,461.10 is: 11,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.74 : 19,084.39 = 8,461.10 : x
  2. Step 2: Convert to fraction form
    13,829.74/19,084.39 = 8,461.10/x
  3. Step 3: Cross multiply
    13,829.74x = 19,084.39 × 8,461.10
  4. Step 4: Simplify right side
    13,829.74x = 161,474,958.79
  5. Step 5: Solve for x
    x = 161,474,958.79/13,829.74
  6. Step 6: Final answer
    x = 11,675.92

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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.