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Finding the Fourth Proportional to 19,841.70, 27,382.76 and 13,115.66

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Solution

The fourth proportional to 19,841.70, 27,382.76 and 13,115.66 is: 18,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.70 : 27,382.76 = 13,115.66 : x
  2. Step 2: Convert to fraction form
    19,841.70/27,382.76 = 13,115.66/x
  3. Step 3: Cross multiply
    19,841.70x = 27,382.76 × 13,115.66
  4. Step 4: Simplify right side
    19,841.70x = 359,142,970.02
  5. Step 5: Solve for x
    x = 359,142,970.02/19,841.70
  6. Step 6: Final answer
    x = 18,100.41

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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.