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Finding the Fourth Proportional to 13,841.94, 19,109.77 and 9,139.89

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Solution

The fourth proportional to 13,841.94, 19,109.77 and 9,139.89 is: 12,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.94 : 19,109.77 = 9,139.89 : x
  2. Step 2: Convert to fraction form
    13,841.94/19,109.77 = 9,139.89/x
  3. Step 3: Cross multiply
    13,841.94x = 19,109.77 × 9,139.89
  4. Step 4: Simplify right side
    13,841.94x = 174,661,188.46
  5. Step 5: Solve for x
    x = 174,661,188.46/13,841.94
  6. Step 6: Final answer
    x = 12,618.26

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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.