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Finding the Fourth Proportional to 19,830.69, 27,371.14 and 13,467.90

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Solution

The fourth proportional to 19,830.69, 27,371.14 and 13,467.90 is: 18,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.69 : 27,371.14 = 13,467.90 : x
  2. Step 2: Convert to fraction form
    19,830.69/27,371.14 = 13,467.90/x
  3. Step 3: Cross multiply
    19,830.69x = 27,371.14 × 13,467.90
  4. Step 4: Simplify right side
    19,830.69x = 368,631,776.41
  5. Step 5: Solve for x
    x = 368,631,776.41/19,830.69
  6. Step 6: Final answer
    x = 18,588.95

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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.