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Finding the Fourth Proportional to 19,721.34, 27,169.20 and 13,742.16

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Solution

The fourth proportional to 19,721.34, 27,169.20 and 13,742.16 is: 18,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,721.34 : 27,169.20 = 13,742.16 : x
  2. Step 2: Convert to fraction form
    19,721.34/27,169.20 = 13,742.16/x
  3. Step 3: Cross multiply
    19,721.34x = 27,169.20 × 13,742.16
  4. Step 4: Simplify right side
    19,721.34x = 373,363,493.47
  5. Step 5: Solve for x
    x = 373,363,493.47/19,721.34
  6. Step 6: Final answer
    x = 18,931.95

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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.