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Finding the Fourth Proportional to 13,084.85, 18,059.69 and 7,419.71

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Solution

The fourth proportional to 13,084.85, 18,059.69 and 7,419.71 is: 10,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.85 : 18,059.69 = 7,419.71 : x
  2. Step 2: Convert to fraction form
    13,084.85/18,059.69 = 7,419.71/x
  3. Step 3: Cross multiply
    13,084.85x = 18,059.69 × 7,419.71
  4. Step 4: Simplify right side
    13,084.85x = 133,997,726.19
  5. Step 5: Solve for x
    x = 133,997,726.19/13,084.85
  6. Step 6: Final answer
    x = 10,240.68

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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.