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Finding the Fourth Proportional to 19,830.80, 27,367.76 and 13,104.63

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Solution

The fourth proportional to 19,830.80, 27,367.76 and 13,104.63 is: 18,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.80 : 27,367.76 = 13,104.63 : x
  2. Step 2: Convert to fraction form
    19,830.80/27,367.76 = 13,104.63/x
  3. Step 3: Cross multiply
    19,830.80x = 27,367.76 × 13,104.63
  4. Step 4: Simplify right side
    19,830.80x = 358,644,401.49
  5. Step 5: Solve for x
    x = 358,644,401.49/19,830.80
  6. Step 6: Final answer
    x = 18,085.22

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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.