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Finding the Fourth Proportional to 19,830.53, 27,370.90 and 13,467.74

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Solution

The fourth proportional to 19,830.53, 27,370.90 and 13,467.74 is: 18,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.53 : 27,370.90 = 13,467.74 : x
  2. Step 2: Convert to fraction form
    19,830.53/27,370.90 = 13,467.74/x
  3. Step 3: Cross multiply
    19,830.53x = 27,370.90 × 13,467.74
  4. Step 4: Simplify right side
    19,830.53x = 368,624,044.75
  5. Step 5: Solve for x
    x = 368,624,044.75/19,830.53
  6. Step 6: Final answer
    x = 18,588.71

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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.