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Finding the Fourth Proportional to 13,728.84, 20,592.90 and 3,868.08

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Solution

The fourth proportional to 13,728.84, 20,592.90 and 3,868.08 is: 5,802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.84 : 20,592.90 = 3,868.08 : x
  2. Step 2: Convert to fraction form
    13,728.84/20,592.90 = 3,868.08/x
  3. Step 3: Cross multiply
    13,728.84x = 20,592.90 × 3,868.08
  4. Step 4: Simplify right side
    13,728.84x = 79,654,984.63
  5. Step 5: Solve for x
    x = 79,654,984.63/13,728.84
  6. Step 6: Final answer
    x = 5,802.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.